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Year 6 in England

5th grade fractions

15 5th grade fractions skills, each with a worked example, free practice that checks every answer, and a printable worksheet. Start with a mixed review, or jump to the skill you need.

Mixed review

Ten questions drawn from every skill below.

Print a review worksheetRiddle puzzle on screenBingo

Add and subtract fractions with unlike denominators

CCSS 5.NF.A.1CCSS 5.NF.A.2England: Y5 FractionsEngland: Y6 Fractions

Example

5/6 + 11/12 = ? Give your answer in simplest form.

  1. 5/6 = 10/12
  2. 11/12 = 11/12
  3. 10/12 + 11/12 = 21/12
  4. = 7/4

Answer: 7/4

Builds on: Add and subtract fractions with like denominators, Equivalent fractions, Factors, multiples, primes

Leads to: Operations with negative fractions and decimals, Add and subtract mixed numbers, Algebraic fractions, Word problems with unlike denominators

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Add and subtract mixed numbers

CCSS 5.NF.A.1CCSS 4.NF.B.3.CEngland: Y6 Fractions

Example

3 1/6 + 2 5/6 = ? (Give a fraction in simplest form, or a mixed number like 3 1/4.)

  1. 3 + 2 = 5
  2. 1/6 + 5/6 = 6/6
  3. 5 + 6/6 = 6

Answer: 6

Builds on: Add and subtract fractions with unlike denominators, Mixed numbers and improper fractions

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Multiply fractions

CCSS 5.NF.B.4CCSS 5.NF.B.6England: Y6 Fractions

Example

Priya has 8 metres of ribbon and uses 1/2 of it. How many metres is that?

  1. 8 ÷ 2 = 4
  2. 4 × 1 = 4

Answer: 4

Builds on: Multiply a fraction by a whole number, Equivalent fractions

Leads to: Operations with negative fractions and decimals, Divide unit fractions and whole numbers, Divide fractions by fractions, Compound events and sample spaces

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Divide unit fractions and whole numbers

CCSS 5.NF.B.7England: Y6 Fractions

Example

6 ÷ 1/4 = ?

  1. There are 4 pieces of 1/4 in each whole.
  2. 6 × 4 = 24

Answer: 24

Builds on: Multiply fractions, Division facts

Leads to: Divide fractions by fractions, Divide a fraction by a whole number, How many pieces? Divide a whole number by a unit fraction, Divide a whole number by a fraction

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Simplify fractions in one step using the greatest common factor

CCSS 6.NS.B.4England: Y6 Fractions

Example

Simplify 48/156 fully.

  1. The greatest common factor is 12.
  2. 48/156 = 4/13

Answer: 4/13

Builds on: Write a fraction in its simplest form

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Compare and order fractions greater than 1

CCSS 4.NF.A.2England: Y6 Fractions

Example

Choose the sign: 2 3/4 __ 8/6

  1. 2 3/4 > 1 1/3
  2. >

Answer: >

Builds on: Order fractions with different denominators, Mixed numbers and improper fractions

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Add and subtract fractions when one denominator is a multiple of the other

CCSS 5.NF.A.1England: Y5 Fractions

Example

1/2 + 5/8 = ?

  1. 1/2 = 4/8
  2. 4/8 + 5/8 = 9/8
  3. 1 1/8

Answer: 9/8

Builds on: Add and subtract fractions with like denominators, Find the missing number in equivalent fractions

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Word problems with unlike denominators

CCSS 5.NF.A.2England: Y6 Fractions

Example

Chloe spends 1/4 of an hour on maths homework and 4/5 of an hour reading. What fraction of an hour is that altogether?

  1. 1/4 = 5/20, 4/5 = 16/20
  2. 5/20 + 16/20 = 21/20
  3. 1 1/20

Answer: 21/20

Builds on: Add and subtract fractions with unlike denominators

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Subtract mixed numbers by regrouping a whole

CCSS 5.NF.A.1England: Y6 Fractions

Example

5 1/4 − 2 2/4 = ?

  1. 4 5/4 − 2 2/4
  2. 2 3/4
  3. 2 3/4

Answer: 11/4

Builds on: Add and subtract mixed numbers with the same denominator, Subtract a fraction from a whole number

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Fractions as division: sharing wholes equally

CCSS 5.NF.B.3England: Y6 Fractions

Example

Write 1 ÷ 3 as a fraction.

  1. 1 ÷ 3 = 1/3

Answer: 1/3

Builds on: Mixed numbers and improper fractions, Division with remainders

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Multiply fractions with an area model

CCSS 5.NF.B.4.BEngland: Y6 Fractions

Builds on: Multiply fractions

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Multiply a mixed number by a whole number

CCSS 5.NF.B.6England: Y6 Fractions

Example

2 2/5 × 5 = ?

  1. 2 × 5 = 10
  2. 2/5 × 5 = 10/5
  3. 10 + 10/5 = 12

Answer: 12

Builds on: Multiply a fraction by a whole number, Mixed numbers and improper fractions

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Predict the size of a product: multiplying as scaling

CCSS 5.NF.B.5.ACCSS 5.NF.B.5.BEngland: Y6 Fractions

Example

Without calculating: is 89 × 5/3 less than, greater than or equal to 89?

  1. 5/3 > 1
  2. greater than 89

Answer: greater than 89

Builds on: Multiply fractions

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Divide a fraction by a whole number

CCSS 5.NF.B.7.AEngland: Y6 Fractions

Example

6/8 ÷ 5 = ?

  1. 6/8 × 1/5 = 6/40
  2. 3/20

Answer: 3/20

Builds on: Divide unit fractions and whole numbers

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How many pieces? Divide a whole number by a unit fraction

CCSS 5.NF.B.7.BCCSS 5.NF.B.7.CEngland: Y6 Fractions

Example

Lucia has 3 metres of string and cuts it into pieces 1/3 m long. How many pieces does Lucia get?

  1. 3 ÷ 1/3 = 3 × 3 = 9

Answer: 9

Builds on: Divide unit fractions and whole numbers

Print a worksheet✏️ Write on screenFlashcards

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5th grade Fractions: Practice and Worksheets | Eurekami