Fraction Builders: Year 4 Maths
Key Stage 2 • Ages 8–9 • Beginner
Instructions: Work through the activities in order. Use the examples to help you, and show your thinking in each answer box. Fractions with the same value can look different, and hundredths are hundred parts of one whole.
Equivalent Fraction Families
Equivalent fractions have the same value. For example, 1/2 = 2/4 because both fractions name the same amount. Complete each family by writing the missing numerator or denominator.
1. 1/2 = ___/4
2. 1/4 = 2/___
3. 2/3 = ___/6
4. 3/5 = 6/___
5. 2/4 = ___/8
Count in Hundredths
Count forwards or backwards by 1/100 each time. Write the missing fraction in each box. Keep the denominator as 100.
1. 12/100, 13/100, ___/100
2. 37/100, ___/100, 39/100
3. 64/100, 63/100, ___/100
4. 91/100, ___/100, 89/100
5. 25/100, 26/100, ___/100
Fractions of Quantities
To find a unit fraction of a quantity, divide by its denominator. For a non-unit fraction, find one part first, then multiply by the numerator. For example, 1/4 of 20 is 20 ÷ 4 = 5.
1. Find 1/3 of 18.
2. Find 1/5 of 30.
3. Find 2/3 of 21.
4. Find 3/4 of 20.
5. Find 2/5 of 35.
Add and Subtract Like Fractions
When the denominators are the same, add or subtract the numerators and keep the denominator. For example, 2/7 + 3/7 = 5/7. Simplify your answer if you can.
1. 2/8 + 3/8 =
2. 6/10 − 2/10 =
3. 1/6 + 4/6 =
4. 7/9 − 3/9 =
5. 3/5 + 1/5 =
Fractions and Decimals
Write each fraction as a decimal. Remember that tenths have one digit after the decimal point and hundredths have two. Use the examples 1/10 = 0.1 and 1/100 = 0.01 to help.
1. 7/10 =
2. 34/100 =
3. 1/4 =
4. 1/2 =
5. 3/4 =
Activity 1: 2 ; 8 ; 4 ; 10 ; 4
Activity 2: 14/100 ; 38/100 ; 62/100 ; 90/100 ; 27/100
Activity 3: 6 ; 6 ; 14 ; 15 ; 14
Activity 4: 5/8 ; 4/10 (or 2/5) ; 5/6 ; 4/9 ; 4/5
Activity 5: 0.7 ; 0.34 ; 0.25 ; 0.5 ; 0.75
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