Year 4 in England

3rd grade fractions

11 3rd 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.

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Understand fractions a/b

CCSS 3.NF.A.1England: Y3 Fractions

Builds on: Equal parts: halves, thirds, quarters

Leads to: Fractions on a number line, Add and subtract fractions with like denominators, What fraction of the group?, Whole numbers written as fractions

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Fractions on a number line

CCSS 3.NF.A.2England: Y3 FractionsEngland: Y4 Fractions

Builds on: Understand fractions a/b

Leads to: Compare fractions with the same numerator or denominator, Equivalent fractions, Whole numbers written as fractions, Spot equivalent fractions with bars and number lines

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Compare fractions with the same numerator or denominator

CCSS 3.NF.A.3.DEngland: Y3 Fractions

Builds on: Fractions on a number line

Leads to: Compare fractions, Order fractions with the same numerator or denominator, Compare fractions using one half as a benchmark

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Fractions of an amount

England: Y3 FractionsEngland: Y4 FractionsEngland: 11+ Fractions

Example

What is 2/5 of 55?

55 ÷ 5 = 11
11 × 2 = 22

Answer: 22

Builds on: Find a half, third or quarter of a number, Division facts

Leads to: Percentage of an amount, Fractions of amounts with measures and money, Find 50%, 25%, 10% and 5% of an amount, Interpret simple pie charts

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Name unit fractions in pictures and words

CCSS 3.NF.A.1England: Y3 Fractions

Example

Which fraction is one sixth?

Answer: 1/6

Builds on: Equal parts: halves, thirds, quarters

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What fraction of the group?

CCSS 3.NF.A.1England: Y3 Fractions

Example

In a class of 7 children, 4 walk to school and the rest come by bus. What fraction come by bus?

7 − 4 = 3
3/7

Answer: 3/7

Builds on: Understand fractions a/b

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Whole numbers written as fractions

CCSS 3.NF.A.3.CEngland: Y3 Fractions

Example

Write 3 as a fraction with denominator 2. What is the numerator?

3 = 6/2
6

Answer: 6

Builds on: Understand fractions a/b, Fractions on a number line

Leads to: Subtract a fraction from a whole number

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Spot equivalent fractions with bars and number lines

CCSS 3.NF.A.3.ACCSS 3.NF.A.3.BEngland: Y3 Fractions

Builds on: Fractions on a number line

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Order fractions with the same numerator or denominator

CCSS 3.NF.A.3.DEngland: Y3 Fractions

Builds on: Compare fractions with the same numerator or denominator

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Add and subtract fractions with the same denominator within one whole

CCSS 4.NF.B.3.AEngland: Y3 Fractions

Example

Grace says 2/10 + 3/10 = 5/20. Spot the mistake. What is the right answer?

Grace added the denominators too.
5/10

Answer: 5/10

Builds on: Understand fractions a/b

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Count in tenths

CCSS 4.NF.C.6England: Y3 Fractions

Example

How many tenths are needed to go from 1/10 to 1 whole?

10 − 1 = 9
9

Answer: 9

Builds on: Fractions on a number line

Leads to: Tenths as decimals: 0.1 to 0.9

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