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Divide 15/4 with 5/8

1 st number: 3 3/4 , 2 nd number: 5/8

15 / 4 ÷ 5 / 8 is 6 / 1 .

Steps for dividing fractions

  • Find the reciprocal of the divisor Reciprocal of 5 / 8 : 8 / 5
  • Now, multiply it with the dividend So, 15 / 4 ÷ 5 / 8 = 15 / 4 × 8 / 5
  • = 15 × 8 / 4 × 5 = 120 / 20
  • After reducing the fraction , the answer is 6 / 1

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solve the division problem 15/4/ 5/8

Related: 30 / 4 ÷ 5 / 8 15 / 4 ÷ 10 / 8 15 / 8 ÷ 5 / 8 15 / 4 ÷ 5 / 16 45 / 4 ÷ 5 / 8 15 / 4 ÷ 15 / 8 15 / 12 ÷ 5 / 8 15 / 4 ÷ 5 / 24 75 / 4 ÷ 5 / 8 15 / 4 ÷ 25 / 8 15 / 20 ÷ 5 / 8 15 / 4 ÷ 5 / 40 15 / 4 ÷ 35 / 8 15 / 28 ÷ 5 / 8 15 / 4 ÷ 5 / 56

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solve the division problem 15/4/ 5/8

What is 15/4 Divided by 5/8?

In this problem we will divide one fraction 15/4, by another fraction, 5/8. We will walk through this problem step-by-step so that you can see the full process of dividing one fraction by another fraction.

Breaking down the problem:

First, let’s break down each piece of the problem, as each piece is important. We have the first fraction, or the dividend, which can be divided by its numerator, 15, and its denominator, 4. We also have the first fraction, or the divisor, which can be broken down into its numerator, 5, and its denominator, 8:

Numerator of the dividend: 15

Denominator of the dividend: 4

Numerator of the divisor: 5

Denominator of the divisor: 8

So, what is 15/4 divided by 5/8? Let’s work through the problem, and find the answer in both fraction and decimal forms.

What is 15/4 Divided by 5/8, Step-by-step

First let’s set up the problem:

15 4 ÷ 5 8 \frac{15}{4} ÷ \frac{5}{8} 4 15 ​ ÷ 8 5 ​

Interestingly, the first step to solving a division problem between two fractions is to multiply. First, you multiply the numerator of the dividend, 15, by the denominator of the divisor, 8.

15 x 8 = 120

Then, multiply the denominator of the dividend, 4, by the numerator of the divisor, 5:

This will be the denominator of the answer.

Put the two answers together into one fraction, and this will be the answer to the problem in fraction form:

120 20 \frac{120}{20} 20 120 ​ = 6 1 \frac{6}{1} 1 6 ​

A fraction that has 1 as its denominator is an improper fraction. So, we should simplify this to just be 6

Because 6 is a whole number, there is no reason to write the answer in decimal form.

So, 15/4 divided by 5/8 = 6.

Practice Other Division Problems Like This One

If this problem was a little difficult or you want to practice your skills on another one, give it a go on any one of these too!

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Long Division Calculator – with Steps to Solve

Enter the divisor and dividend below to calculate the quotient and remainder using long division. The results and steps to solve it are shown below.

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How to Do Long Division with Remainders

Parts of a long division problem, steps to calculate a long division problem, how to get the quotient and remainder as a decimal, how to do long division without division, frequently asked questions.

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Learning long division is a crucial milestone in understanding essential math skills and a rite of passage to completing elementary school. It strikes fear in elementary school students and parents alike.

A recent study found that the understanding of long division and fractions in elementary school is directly linked to the student’s ability to learn and understand algebra later in school. [1]

Have no fear!

Learning long division can be easy, and in just a few easy steps, you can solve any long division problem. Follow along as we break it down, but first, we need to cover the anatomy of a long division problem.

diagram showing the parts of a long division math problem

There are a few parts to a long division problem, as shown in the image above.

The dividend is the number being divided and appears to the right and under the division line.

The divisor is the number being divided by and appears to the left of the division line.

The quotient is the solution and is shown above the dividend over the division line. Often in long division, the quotient is referred to as just the whole number part of the solution.

The remainder is the remaining part of the solution, or what’s leftover, that doesn’t fit evenly into the quotient.

There are a few main steps to solving a long division problem: divide, multiply, subtract, bringing the number down, and repeating the process.

Step One: Set up the Expression

The first step in solving a long division problem is to draw the equation that needs to be solved. If the problem is already in long division form, then skip along to step two.

If it’s not, this is how to draw the long division problem.

Start by drawing a vertical bar to separate the divisor and dividend and an overbar to separate the dividend and quotient.

Place the dividend to the right of the vertical bar and under the overbar. Place the divisor to the left of the vertical bar.

For example , to divide 75 by 4, the long division problem should look like this:

diagram showing how to write a long division proble

Step Two: Divide

With the long division problem drawn, start by dividing the first digit in the dividend by the divisor.

You can also think about this as counting the number of times the divisor will evenly fit into this digit in the dividend.

If the divisor does not fit into the first digit an even number of times, drop the remainder or decimal portion of the result and write the whole number portion of the result in the quotient above the overline directly above the digit in the dividend.

For example , the divisor “4” goes evenly into the first digit of the dividend “7” one time, so a “1” can be added to the quotient above the 7.

diagram illustrating how to divide the first digit of the dividend by the divisor to solve the first digit of the quotient

Step Three: Multiply

The next step is to multiply the divisor by the digit just added to the quotient. Write the result below the digit in the dividend.

This step forms the part of the expression for the next step.

Continuing with our example, multiplying the divisor “4” by “1”, which we found in the previous step, equals “4”. So, add a “4” below the first digit in the dividend.

diagram illustrating how to multiply the divisor by the first digit of the quotient in the solution of a long division problem

Step Four: Subtract

Now, add a minus sign “-” before the number added in the previous step and draw a line below it to form a subtraction expression.

Continuing the example above, add a “-” before the “4” and a subtraction line below it.

diagram illustrating where to add the minus sign and subtraction line in a long division problem

Now that you have created a subtraction problem, it’s time to solve it.

To solve, subtract “7” minus “4”, which equals “3”, so write a “3” below the subtraction line.

diagram showing how to solve the subtraction portion of the long division problem where 7 minus 4 equals 3

Note: if the resulting value of the subtraction problem is greater than the divisor, then you made a mistake in step 2 and should double-check your work.

If the long division problem has a dividend that is a single digit, then hooray, you’re done! The remaining number that is the result of the subtraction problem is the remainder , and the number above the dividend is the whole number quotient.

If more digits are remaining in the dividend, then proceed to the next step.

Step Five: Pull Down the Next Number

At this point in the process, it’s time to operate on the next number in the dividend. To do this, pull down the next digit in the dividend and place it directly to the right of the result from the subtraction problem above.

The next digit in the dividend is “5”. So, pull “5” down and write it next to the “3” found in the previous step.

diagram showing how to pull down the next digit in the dividend in a long division problem

Step Six: Repeat

At this point, you might be wondering where to go from here. Repeat steps two to five until all the digits in the dividend have been pulled down, divided, multiplied, and subtracted.

When dividing, use the result of the subtraction problem combined with the pulled-down digit as the dividend and divide the divisor into it.

Continuing the examples above, divide the result of the subtraction problem and the pulled-down digit by the divisor. Thus, the next step is to divide 35 by 4. The result is “8”, so add “8” to the quotient.

diagram showing how to divide 35 by 4 to find the next digit in the quotient

Next, multiply the quotient digit “8” by the divisor “4”, which equals 32. Add “32” to the long division problem and place a negative sign in front of it.

diagram showing how to multiply 8 by 4 equalling 32

Next, repeat the subtraction process, subtracting 32 from 35, which equals 3. Add a “3” below the subtraction line. Since there are no longer any remaining digits in the dividend, this is the remainder portion of the solution.

diagram showing how to subtract 32 from 35 to find the remainder in the long division problem

Therefore, 75 divided by 4 is 18 with a remainder of 3. As you practice these steps, use the calculator above to confirm your answer and validate your steps solving long division problems.

If you’ve gotten this far, then you should have a good idea of how to solve a long division problem, but you might be stuck if you need to get the quotient as a decimal rather than a whole number with a remainder.

To calculate the quotient in decimal form, follow the steps above the get the whole number and remainder.

Next, divide the remainder by the divisor to get the remainder as a decimal. Finally, add the decimal to the quotient to get the quotient in decimal form.

For example , 75 ÷ 4 is 18 with a remainder of 3.

Divide 3 by 4 to get the decimal 0.75. 3 ÷ 4 = 0.75

Then, add 0.75 to 18 to get the quotient as a decimal. 0.75 + 18 = 18.75

Thus, the decimal form of 75 ÷ 4 equals 18.75.

While it defeats the purpose of actually learning how to do long division, there is technically a way to perform long division without actually doing any division. The way to do this is as follows.

Set up the long division expression the exact same way as you would normally.

Graphic showing the first step of setting up the expression for the subtraction method of doing long division

Step Two: Repeatedly Subtract the Divisor

Now, subtract the divisor from the dividend. Afterward, subtract the divisor again from the remaining value. Do this repeatedly until the remaining value is less than the divisor.

Graphic showing the second step of repeatedly subtracting for the subtraction method of doing long division

Step Three: Count the Number of Subtractions

Finally, to find the quotient, simply count the number of times you subtracted the divisor. This is the whole number portion of the quotient, and the final remaining value is the remainder.

Graphic showing the final step of calculating the quotient and remainder for the subtraction method of doing long division

Note: While this method of solving long division problems may seem easier, it is often very impractical to do so. For example, in the above example of 75 divided by 4, you would need to repeat the subtraction 18 times!

Therefore, traditional long division is the vastly superior method.

Why is long division important?

Long division is important not just because it is a tool that allows us to solve difficult division problems, but because it helps to teach logical thinking that will prepare students to excel in solving future mathematical problems.

Why do we still teach long division?

We still teach long division because it teaches students how to think logically, a valuable skill that is shown not just to improve future understanding of algebraic concepts, but also to help solve problems in all aspects of their lives.

How do you check a long division answer?

Just like subtraction is the opposite of addition, multiplication is the opposite of division. Therefore, to check a long division answer, multiply the quotient by the divisor, and if it equals the dividend, then the answer is correct!

Can you do long division on a calculator?

While a calculator can solve division problems, it will not list out the steps used in evaluating a long division problem, and will therefore not improve your understanding of how to perform long division.

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Division Calculator

Division is one of the four basic operations of arithmetic, the others being addition, divideion, and multiplication. The division of two natural numbers is the process of calculating the number of times one number is contained within the other. Division can also be thought of as the process of evaluating a fraction, and fractional notation (a ⁄ b) is commonly used to represent division.

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Long Division Calculator

Division is one of the basic arithmetic operations, the others being multiplication (the inverse of division), addition, and subtraction. The arithmetic operations are ways that numbers can be combined in order to make new numbers. Division can be thought of as the number of times a given number goes into another number. For example, 2 goes into 8 4 times, so 8 divided by 4 equals 2.

Division can be denoted in a few different ways. Using the example above:

8 ÷ 4 = 2

In order to more effectively discuss division, it is important to understand the different parts of a division problem.

Components of division

Generally, a division problem has three main parts: the dividend, divisor, and quotient. The number being divided is the dividend, the number that divides the dividend is the divisor, and the quotient is the result:

One way to think of the dividend is that it is the total number of objects available. The divisor is the desired number of groups of objects, and the quotient is the number of objects within each group. Thus, assuming that there are 8 people and the intent is to divide them into 4 groups, division indicates that each group would consist of 2 people. In this case, the number of people can be divided evenly between each group, but this is not always the case. There are two ways to divide numbers when the result won't be even. One way is to divide with a remainder, meaning that the division problem is carried out such that the quotient is an integer, and the leftover number is a remainder. For example, 9 cannot be evenly divided by 4. Instead, knowing that 8 ÷ 4 = 2, this can be used to determine that 9 ÷ 4 = 2 R1. In other words, 9 divided by 4 equals 2, with a remainder of 1. Long division can be used either to find a quotient with a remainder, or to find an exact decimal value.

components of division

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Problem Solving on Division | Division Word Problems Examples with Answers

Are you looking for help in solving the division problems? If yes, then you are on the correct page. This Problem Solving on Division page includes the questions prepared by math experts. Students can check the detailed process to solve all those problems in the following sections. We know that division is an arithmetic operation that is inverse of multiplication and used to split the number of items into groups of equal size.

We are providing example questions and solutions for the various division problems. Interested students can solve the practice questions related to division to become a pro in the concept. All the Questions covered clearly explain how to solve problems involving division.

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Division Problem Solving Examples

Problem Solving on Division 1

Example 2: At a parking slot, we have 52 bikes in 4 rows. Find the number of bikes in each row? Solution: The total number of bikes = 52 The number of rows = 4 The number of bikes in each row = 52 ÷ 4 = 13 Therefore, the number of bikes in each row is 13.

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COMMENTS

  1. Divide 15/4 by 5/8, Solve 3 3/4 ÷ 5/8 as a fraction

    Steps for dividing fractions Find the reciprocal of the divisor Reciprocal of 5 8: 8 5 Now, multiply it with the dividend So, 15 4 ÷ 5 8 = 15 4 × 8 5 = 15 × 8 4 × 5 = 120 20 After reducing the fraction, the answer is 6 1 MathStep (Works offline) Download our mobile app and learn to work with fractions in your own time: Android and iPhone/ iPad

  2. Examine the division problem: 15/4 divided by (-5/8)

    The reciprocal fraction you should use to divide 15/4 by -5/8 is -8/5. What is Division? Division is one of the basic mathematical operation where one number is divided into many equal parts of another number. The parts you got is called the quotient and the remaining parts is called the remainder.

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    Integration. ∫ 01 xe−x2dx. Limits. x→−3lim x2 + 2x − 3x2 − 9. Online math solver with free step by step solutions to algebra, calculus, and other math problems. Get help on the web or with our math app.

  5. What is 15/4 Divided by 5/8?

    What is 15/4 Divided by 5/8? In this problem we will divide one fraction 15/4, by another fraction, 5/8. We will walk through this problem step-by-step so that you can see the full process of dividing one fraction by another fraction.

  6. Mathway

    Algebra Free math problem solver answers your algebra homework questions with step-by-step explanations.

  7. Long Division Calculator with Remainders

    Step-by-Step Set up the division problem with the long division symbol or the long division bracket. Put 487, the dividend, on the inside of the bracket. The dividend is the number you're dividing. Put 32, the divisor, on the outside of the bracket. The divisor is the number you're dividing by.

  8. Long Division Calculator

    Step One: Set up the Expression The first step in solving a long division problem is to draw the equation that needs to be solved. If the problem is already in long division form, then skip along to step two. If it's not, this is how to draw the long division problem.

  9. Fraction Calculator

    Enter the fraction you want to simplify. The Fraction Calculator will reduce a fraction to its simplest form. You can also add, subtract, multiply, and divide fractions, as well as, convert to a decimal and work with mixed numbers and reciprocals. We also offer step by step solutions. Step 2: Click the blue arrow to submit.

  10. Fraction Calculator

    Example: 1/3 + 1/4 Fraction Calculator is a calculator that gives step-by-step help on fraction problems. Try it now. To enter a fraction, type a / in between the numerator and denominator. For example: 1/3 Or click the example. Example (Click to try) 1/3 + 1/4 Fractions Video Lesson. Khan Academy Video: Adding Fractions

  11. Math Calculator

    Basic Math. Math Calculator. Step 1: Enter the expression you want to evaluate. The Math Calculator will evaluate your problem down to a final solution. You can also add, subtraction, multiply, and divide and complete any arithmetic you need. Step 2: Click the blue arrow to submit and see your result!

  12. Division Calculator

    Division Calculator Division is one of the four basic operations of arithmetic, the others being addition, divideion, and multiplication. The division of two natural numbers is the process of calculating the number of times one number is contained within the other.

  13. Long Division Calculator

    Not only does this calculator give you the answer to the division problem you want to solve, but you will also learn how to use Long Division to solve other division problems. Please enter your division problem below and press "Divide": ÷. Long Division Worksheets. We recommend that you use the Long Division Calculator above in conjunction ...

  14. Question: Solve the division problem. ((15)/(4))/(-(5)/(8)) The ...

    See Answer Question: Solve the division problem. ( (15)/ (4))/ (- (5)/ (8)) The quotient is Intro Solve the division problem. ( (15)/ (4))/ (- (5)/ (8)) The quotient is Intro There's just one step to solve this. Expert-verified Step 1 We know that View the full answer Answer Unlock Previous question Next question

  15. Long Division Calculator

    8 ÷ 4 = 2 8/4 = 2 8 4 In order to more effectively discuss division, it is important to understand the different parts of a division problem. Components of division Generally, a division problem has three main parts: the dividend, divisor, and quotient.

  16. Algebra Calculator

    How do you solve algebraic expressions? To solve an algebraic expression, simplify the expression by combining like terms, isolate the variable on one side of the equation by using inverse operations. Then, solve the equation by finding the value of the variable that makes the equation true.

  17. Divide 15÷4

    Calculus Divide 15÷4 15 ÷ 4 15 ÷ 4 Rewrite the division as a fraction. 15 4 15 4 The result can be shown in multiple forms. Exact Form: 15 4 15 4 Decimal Form: 3.75 3.75 Mixed Number Form: 33 4 3 3 4

  18. Problem Solving on Division

    Division Problem Solving Examples. Example 1: Mr. Karthik went to a stationary shop and bought 30 notebooks costing $450. Find the cost of each book. Solution: The total amount paid at the shop = $450. The number of books bought from the shop = 30. The cost of each notebook = $450 ÷ 30. Therefore, the cost of each book is $15.

  19. Examine the division problem. StartFraction 15 over 4 EndFraction

    answer answered Examine the division problem. StartFraction 15 over 4 EndFraction divided by (negative StartFraction 5 over 8 EndFraction To solve the problem, you first must find the reciprocal of the second fraction. Which reciprocal fraction should you use? Negative StartFraction 5 over 1 EndFraction Negative one-fifth

  20. Mathway

    Free math problem solver answers your homework questions with step-by-step explanations. Mathway. Visit Mathway on the web. Start 7-day free trial on the app. ... While we cover a very wide range of problems, we are currently unable to assist with this specific problem. I spoke with my team and we will make note of this for future training.