Year 3 Fractions Worksheet - Beginner

Year 3 Fractions worksheet for Year 3 (Key Stage 2 / Year 3-6 (Ages 7-11)). Beginner level maths practice, aligned to the UK National Curriculum. Print-ready with answer key included.

Maths•Key Stage 2 / Year 3-6 (Ages 7-11)•Fractionsbeginner

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Fractions in Focus

Year 3 | Ages 7–8 | Beginner

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Instructions: Work through each activity in order. Use the guidance and examples to help you, and write each answer in its box. Fractions are written with the number of equal parts taken first and the total number of equal parts second.

Count in Tenths

Count forwards or backwards in tenths. Each step changes the number by one tenth. Write the missing fraction in each box.

Example: 2/10, 3/10, 4/10 — each step adds 1/10.

1. 0/10, 1/10, , 3/10,

2. 4/10, , 6/10, , 8/10

3. 10/10, 9/10, , 7/10,

4. 3/10, 2/10, , 0/10

Tenths Mean Dividing by Ten

A tenth is one of ten equal parts. To find one tenth of a number, divide it by 10. Use the example to help, then find each answer.

Example: 1/10 of 40 = 40 ÷ 10 = 4.

1. 1/10 of 30 = 30 ÷ 10 =

2. 1/10 of 70 = 70 ÷ 10 =

3. 1/10 of 90 = 90 ÷ 10 =

4. 1/10 of 50 = 50 ÷ 10 =

Fractions of a Set

To find a unit fraction of a set, divide the total into the number of equal groups shown by the denominator. For a non-unit fraction, find one part first, then multiply by the numerator.

Example: 1/4 of 12 counters = 12 ÷ 4 = 3 counters.

1. Find 1/3 of 12 apples.

2. Find 1/4 of 20 balloons.

3. Find 2/5 of 15 stars.

4. Find 3/4 of 16 books.

Equivalent Fractions

Equivalent fractions have the same value, even though their numerators and denominators may differ. Complete each equality by writing the missing number in the box.

Example: 1/2 = 2/4.

1. 1/2 = ___/4

2. 1/3 = 2/___

3. 2/4 = ___/2

4. 2/3 = 4/___

Add and Subtract Like Fractions

When the denominators are the same, add or subtract the numerators and keep the denominator unchanged. Keep each answer within one whole.

Example: 1/5 + 2/5 = 3/5.

1. 1/6 + 3/6 =

2. 5/8 − 2/8 =

3. 2/7 + 4/7 =

4. 6/10 − 3/10 =

Compare and Order Fractions

For unit fractions, the larger the denominator, the smaller the fraction. When denominators are the same, compare the numerators. Write <, > or = in each box; then order the final set from smallest to largest.

1. 1/3 1/5

2. 1/8 1/4

3. 3/7 5/7

4. 4/9 2/9

5. Order from smallest to largest: 1/6, 1/3, 1/2.

Answer Key

Activity 1: 1. 2/10, 4/10 ; 2. 5/10, 7/10 ; 3. 8/10, 6/10 ; 4. 1/10

Activity 2: 1. 3 ; 2. 7 ; 3. 9 ; 4. 5

Activity 3: 1. 4 apples ; 2. 5 balloons ; 3. 6 stars ; 4. 12 books

Activity 4: 1. 2 ; 2. 6 ; 3. 1 ; 4. 6

Activity 5: 1. 4/6 ; 2. 3/8 ; 3. 6/7 ; 4. 3/10

Activity 6: 1. > ; 2. < ; 3. < ; 4. > ; 5. 1/6, 1/3, 1/2