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Year 5 in England

4th grade fractions

17 4th 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

Equivalent fractions

CCSS 4.NF.A.1CCSS 3.NF.A.3.BEngland: Y4 FractionsEngland: Y5 Fractions

Example

Simplify 2/8 to its simplest form.

  1. Divide top and bottom by 2.
  2. 2/8 = 1/4

Answer: 1/4

Builds on: Fractions on a number line, Times tables to 12 × 12

Leads to: Fractions as decimals, Compare fractions, Add and subtract fractions with like denominators, Tenths and hundredths as fractions

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Compare fractions

CCSS 4.NF.A.2England: Y4 FractionsEngland: Y5 FractionsEngland: Y6 Fractions

Builds on: Equivalent fractions, Compare fractions with the same numerator or denominator

Leads to: Order fractions with different denominators

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Add and subtract fractions with like denominators

CCSS 4.NF.B.3England: Y4 FractionsEngland: Y5 Fractions

Example

3/5 − 2/5 = ?

  1. 3 − 2 = 1
  2. 3/5 − 2/5 = 1/5

Answer: 1/5

Builds on: Understand fractions a/b, Equivalent fractions

Leads to: Mixed numbers and improper fractions, Multiply a fraction by a whole number, Add and subtract fractions with unlike denominators, Line plots and tables

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Mixed numbers and improper fractions

CCSS 4.NF.B.3.BCCSS 4.NF.B.3.CEngland: Y5 Fractions

Example

Write 1 1/2 as an improper fraction.

  1. 1 × 2 = 2
  2. 2 + 1 = 3
  3. 1 1/2 = 3/2

Answer: 3/2

Builds on: Add and subtract fractions with like denominators

Leads to: Add and subtract mixed numbers, Write remainders as fractions or decimals, Add like fractions with a total greater than one, Mixed numbers and improper fractions on a number line

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Multiply a fraction by a whole number

CCSS 4.NF.B.4England: Y5 FractionsEngland: Y6 Fractions

Example

3 × 3/4 = ? (Give a fraction; it may be improper.)

  1. 3 × 3 = 9
  2. 3 × 3/4 = 9/4

Answer: 9/4

Builds on: Add and subtract fractions with like denominators

Leads to: Multiply fractions, Word problems: a fraction times a whole number, Multiply a mixed number by a whole number

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Tenths and hundredths as fractions

CCSS 4.NF.C.5England: Y4 Fractions

Example

4/10 + 16/100 = __/100

  1. 4/10 = 40/100
  2. 40/100 + 16/100 = 56/100

Answer: 56

Builds on: Equivalent fractions

Leads to: Tenths and hundredths as decimals, Add tenths and hundredths written as fractions

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Find the missing number in equivalent fractions

CCSS 4.NF.A.1England: Y4 FractionsEngland: Y5 Fractions

Example

1/10 = 8/?

  1. Multiply top and bottom by 8.
  2. 1/10 = 8/80
  3. 80

Answer: 80

Builds on: Equivalent fractions

Leads to: Write a fraction in its simplest form, Order fractions with different denominators, Add and subtract fractions when one denominator is a multiple of the other, Convert fractions to decimals

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Write a fraction in its simplest form

CCSS 4.NF.A.1England: Y5 FractionsEngland: Y6 Fractions

Example

Simplify 14/20.

  1. 14 ÷ 2 = 7, 20 ÷ 2 = 10
  2. 7/10

Answer: 7/10

Builds on: Find the missing number in equivalent fractions, Common factors of two numbers

Leads to: Simplify fractions in one step using the greatest common factor, Convert decimals to fractions in simplest form

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Compare fractions using one half as a benchmark

CCSS 4.NF.A.2England: Y5 Fractions

Example

Is 4/10 less than or greater than 1/2?

  1. Half of 10 is 5; 4 < 5.
  2. less than 1/2

Answer: less than 1/2

Builds on: Compare fractions with the same numerator or denominator, Equivalent fractions

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Order fractions with different denominators

CCSS 4.NF.A.2England: Y5 Fractions

Example

Three friends drank from same-sized bottles: Chloe drank 1/3, Daniel drank 1/4, Felix drank 5/12. Who drank the most?

  1. 1/3 = 4/12, 1/4 = 3/12, 5/12 = 5/12
  2. Felix

Answer: Felix

Builds on: Compare fractions, Find the missing number in equivalent fractions

Leads to: Compare and order fractions greater than 1

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Break a fraction into a sum of fractions

CCSS 4.NF.B.3.BEngland: Y4 Fractions

Example

2/6 can be written as a sum of how many unit fractions 1/6?

  1. 2/6 = 1/6 + 1/6
  2. 2

Answer: 2

Builds on: Add and subtract fractions with like denominators

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Add like fractions with a total greater than one

CCSS 4.NF.B.3.AEngland: Y5 Fractions

Example

Nia runs 3/4 km on Monday and 3/4 km on Tuesday. How far is that altogether? (Write a mixed number.)

  1. 6/4 = 1 1/2
  2. 1 1/2 km

Answer: 3/2

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

Leads to: Add and subtract mixed numbers with the same denominator

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Add and subtract mixed numbers with the same denominator

CCSS 4.NF.B.3.CEngland: Y5 Fractions

Example

5 2/4 + 2 2/4 = ?

  1. 5 + 2 = 7
  2. 2/4 + 2/4 = 4/4
  3. 8

Answer: 8

Builds on: Add like fractions with a total greater than one

Leads to: Subtract mixed numbers by regrouping a whole

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Subtract a fraction from a whole number

CCSS 4.NF.B.3.CEngland: Y5 Fractions

Example

3 − 2/5 = ? (Give a mixed number.)

  1. 3 = 2 5/5
  2. 2 3/5

Answer: 13/5

Builds on: Whole numbers written as fractions, Add and subtract fractions with like denominators

Leads to: Subtract mixed numbers by regrouping a whole

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Word problems: a fraction times a whole number

CCSS 4.NF.B.4.CEngland: Y5 Fractions

Example

Amara drinks 1/2 of a litre of milk every day. How much milk is that in 3 days? (Write a mixed number or whole number.)

  1. 3 × 1/2 = 3/2
  2. 1 1/2

Answer: 3/2

Builds on: Multiply a fraction by a whole number

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Fractions of amounts with measures and money

CCSS 4.NF.B.4.CEngland: Y5 FractionsEngland: Y5 Measurement

Example

What is 5/10 of 2 l? Answer in ml.

  1. 2000 ÷ 10 = 200
  2. 200 × 5 = 1000
  3. 1000 ml

Answer: 1000

Builds on: Fractions of an amount

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Mixed numbers and improper fractions on a number line

CCSS 4.NF.B.3CCSS 3.NF.A.2England: Y5 Fractions

Example

1 2/8 lies between which two whole numbers? Give the smaller one.

  1. 1 < 1 2/8 < 2
  2. 1

Answer: 1

Builds on: Mixed numbers and improper fractions, Fractions on a number line

Print a worksheet✏️ Write on screenFlashcards

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4th grade Fractions: Practice and Worksheets | Eurekami