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How to Solve Improper Fraction Math Problems

Adding and subtracting fractions sometimes results in improper fractions.

How to Write an Equivalent Fraction With a Given Denominator

Improper fractions contain a numerator that is equal to or greater than the denominator. These fractions are described as improper because a whole number can be pulled out from them, yielding a mixed number fraction. This mixed number fraction is a simplified version of the number and, therefore, is more desirable because it removes complexity in further operations that may be preformed. Performing operations on improper fractions is a pre-algebra exercise that allows students to become familiar with the concept of rational numbers.

Complete all operations indicated on an improper fraction as normal. For example, (3/2 ) * ( 5/2) = 15/4.

Divide the top number by the bottom number. If there is a remainder write it down for later use. In our example, 4 divides into 15 three times. This yields 3 with a remainder of 3.

Write down the whole number.

Create a fraction beside the whole number with the original denominator value. Continuing from above, 3 ( /4).

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

Check your work by multiplying the denominator by the whole number portion of the mixed number and adding the product to the numerator. Checking the above yields ((4 * 3) + 3)) / 4 = 15 / 4. This check proves the operation was a success and that the improper fraction was simplified properly.

Related Articles

How to convert a fraction to a ratio, how to do fractions on a ti-30x iis, how to add fractions with mixed numbers, how to divide rational numbers, how to write the remainder as a whole number, multiplying fractions, how to calculate a percentage and solve percent problems, how to add & subtract radical expressions with fractions, what is the identity property of multiplication, how to divide radicals, how to subtract, add & simplify fractions, how to convert mixed fractions to ratios, how to get rid of cubed power, how to solve distributive properties with fractions, how to multiply 3 fractions, how to divide negative fractions, how to simplify algebraic expressions, how to get the fraction equivalent of a whole number, how to square a fraction with a variable.

About the Author

Gabriel Dockery began writing in 2009, with his work published on various websites. He is working toward a Bachelor of Science in neuroscience in a transfer program between Ivy Tech College and Indiana State University.

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adding fractions problem solving year 5

adding fractions problem solving year 5

Fractions having the same denominator are called like fractions. For example, ½,3/2, 5/2, 7/2, are all like fractions.

Maths class 5 Fraction

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

Maths class 5 Fraction

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

Maths class 5 Fraction

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

Fraction of blue balls= 1/10

Fraction as a division

Numerator/Denominator

= Dividend ÷ Divisor

=Dividend/Divisor

EXAMPLE 1: Write 1÷2 as a fraction.

SOLUTION: ½

EXAMPLE 2: Write 2/3 as division.

SOLUTION: 2÷3

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

Maths class 5 Fraction

Maths class 5 Fraction

Finding and checking equivalent fraction

Maths class 5 Fraction

Maths class 5 Fraction

SOLUTION: 2x4=8 3X3=9 8≠9

Hence, the fractions are not equal.

Maths class 5 Fraction

To find a fraction in its lowest term

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

Maths class 5 Fraction

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.

Maths class 5 Fraction

No. of boys= (120-96) = 24

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

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

To compare unlike fractions

Convert mixed fractions into improper fractions to compare them.

Maths class 5 Fraction

To add/subtract unlike fractions

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

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

Maths class 5 Fraction

Reciprocal of a fractional number

Maths class 5 Fraction

Division of fractions

Maths class 5 Fraction

Practice these questions

Maths class 5 Fraction

Quiz for Fractions

Your Score: 0 /10

Other Chapters of Class 5

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Math word problem worksheets for grade 5.

These worksheets present students with real world word problems that students can solve with grade 5 math concepts. 

We encourage students to think about the problems carefully by:

The four operations

Mixed 4 operations

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Grade 5 fractions and decimal word problems

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adding fractions problem solving year 5

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Equivalent Fractions Year 5 Fractions Free Resource Pack

Equivalent Fractions Year 5 Resources

Step 1: Equivalent Fractions Year 5 Spring Block 2 Resources

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

adding fractions problem solving year 5

What's included in the pack?

This pack includes:

National Curriculum Objectives

Mathematics Year 5: (5F2b)  Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths

Differentiation:

Varied Fluency Developing Questions to support finding fractions equivalent to a half, a third, a quarter or a fifth using pictorial support where the original denominator is represented first. Expected Questions to support finding equivalent unit and non-unit fractions using pictorial support where the original denominator is represented first. Greater Depth Questions to support finding equivalent fractions of unit and non-unit fractions using pictorial support where the image represent a multiple of the denominator.

Reasoning and Problem Solving Questions 1, 4 and 7 (Reasoning) Developing Describe an error in a model of equivalent fractions of a half, a third, a quarter or a fifth using pictorial support where the original denominator is represented first. Expected Describe an error in a model of equivalent unit and non-unit fractions using pictorial support where the original denominator is represented first. Greater Depth Describe an error in a model of equivalent fractions of unit and non-unit fractions using pictorial support where the image represents a multiple of the denominator.

Questions 2, 5 and 8 (Reasoning) Developing Correct and explain errors when shading equivalent fractions of a half, a third, a quarter or a fifth where the original denominator is represented first. Expected Correct and explain errors when shading equivalent unit and non-unit fractions where the original denominator is represented first, Greater Depth Correct and explain errors when calculating equivalent fractions of unit and non-unit fractions.

Questions 3, 6 and 9 (Problem Solving) Developing Find 2 possibilities for a missing function used to create equivalent fractions of a half, a third, a quarter or a fifth using pictorial support where the image represents a multiple of the denominator. Expected Find 2 possibilities for a missing function used to create equivalent unit or non-unit fractions. Greater Depth Find 2 possibilities for two missing functions used to create equivalent fractions of unit and non-unit fractions.

This resource is available to download with a Taster subscription.

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adding fractions problem solving year 5

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IMAGES

  1. Harder adding fractions

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  2. Fractions: reasoning and problem solving

    adding fractions problem solving year 5

  3. Recognise equivalent fractions

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  4. Adding Fractions Word Problems

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  5. Year 5 Maths Games

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  6. Ejercicio de Problem Solving

    adding fractions problem solving year 5

VIDEO

  1. Adding Fractions

  2. Exploring Fractions: Problem Solving with Pizza Slices

  3. Fractions

  4. Easy Steps For Mixed Fractions

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  6. Adding Fractions With Unlike Denominators

COMMENTS

  1. Class 5 Fractions

    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

  2. Equivalent Fractions Year 5 Fractions Free Resource Pack

    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