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## How to Solve Improper Fraction Math Problems

## How to Write an Equivalent Fraction With a Given Denominator

Place the remainder from above into the blank numerator. In conclusion, 15 / 4 = 3 3/4.

## Related Articles

- "Introductory and Intermediate Algebra"; Marvin L. Bittinger and Judith A. Beecher; 2007
- Purplemath; Fractions Review - Mixed Numbers and Improper Fractions; Elizabeth Stapel; 2000

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- Fractions having different denominators are called, unlike fractions. For example, ½, 2/3, ¾, 4/5, are all unlike fractions
- A fraction whose numerator is less than the denominator is called proper fraction. For example, 8/9, 7/8, 6/7, 5/6 are all proper fractions.
- A fraction whose numerator is greater than the denominator is called improper fraction. For example, 3/2, 4/3, 5/4, 6/5 are all improper fractions.

EXAMPLE 1: Find the fraction of shaded and unshaded part.

EXAMPLE 2: Find the fraction of red balls, green balls and blue balls.

SOLUTION: Total number of balls= 10 Number of red balls= 4

Fraction of red balls= 4/10= 2/5

Fraction of green balls= 5/10= ½

EXAMPLE 1: Write 1÷2 as a fraction.

EXAMPLE 2: Write 2/3 as division.

To convert a mixed no. into an improper fraction & vice versa

Finding and checking equivalent fraction

Hence, the fractions are not equal.

To find a fraction in its lowest term

- A fraction is in its lowest term when the numerator and the denominator don’t have a common factor, except 1.
- There are two methods of finding a fraction in its lowest term. They are: Method 1: Divide the numerator and denominator with their common factor till we are left with only the common factor 1

Method 2: Divide the numerator and denominator of the given fraction with their HCF.

To find the fraction of a number or quantity

EXAMPLE 1: A group has 120 children. 4/5 of them are girls. Find the number of boys.

EXAMPLE 2: Find 1/4 of a year in months.

SOLUTION: A year has 12 months. ¼ X 12 = 3 months [ANS]

- First find the LCM of the denominators of the given fractions.
- Then convert the unlike fractions into equivalent like fraction with LCM as their common denominator.
- Compare the like fractions.

Convert mixed fractions into improper fractions to compare them.

To add/subtract unlike fractions

- Find the LCM of the denominator of unlike fraction.
- Then convert the unlike fraction into equivalent like fraction with LCM as common denominator.
- Add/subtract the like fraction so obtained.

EXAMPLE 1: Add/subtract ½ and/from 1/6.

SOLUTION: LCM of 2 and 6 is = 2x3=6 2| 2,6 1,3

## Reciprocal of a fractional number

- Division is repeated subtraction.
- Division by a fraction is same as multiplication by its reciprocal. 0 has no reciprocal. The reciprocal of 1 is 1. 0 divided by any non-zero number = 0

- LCM of denominators is to be found only while performing addition or subtraction of unlike fractions.
- While multiplying fractions we can change their order, but the product remains the same. (commutative property)
- If a fraction is multiplied by 0, the product is always zero.
- If a fraction is multiplied by 1, the product is the same fraction.
- A fraction is in the lowest term when the only common factor between the numerator and the denominator is 1
- If any of the fraction is a mixed number or a whole number, change it to an improper function and then multiply.

## Quiz for Fractions

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## 5th Grade Math Word Problems Worksheets

Math word problem worksheets for grade 5.

We encourage students to think about the problems carefully by:

- providing a number of mixed word problem worksheets
- including irrelevant data so students need to understand the context before applying a solution

## The four operations

Estimating and rounding word problems

## Grade 5 fractions and decimal word problems

Addition and subtraction of fractions

Addition and subtraction of mixed numbers

Division of numbers with fractional answers

Multiplying fractions word problems

Mixed operations with fractions

More mixed fraction word problems

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Volume and capacity word problems

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## Equivalent Fractions Year 5 Fractions Free Resource Pack

## Step 1: Equivalent Fractions Year 5 Spring Block 2 Resources

## What's included in the pack?

- Equivalent Fractions Year 5 Teaching PowerPoint.
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Are you confused while solving problems on Fractions Class 5? Do not worry, Visit Math Square and learn what is Fractions Class 5 and how to solve problems on Class 5 Fractions

Step 1: Equivalent Fractions Year 5 Resource Pack includes a teaching PowerPoint and differentiated varied fluency and reasoning and problem solving resources for Spring Block 2