Equivalent fractions · Year 4

In Year 4 you learn: families of equivalent fractions.

Equivalent fractions look different but stand for the same amount: 1/2, 2/4 and 5/10 all cover half of a shape. Spotting them lets you simplify answers, compare fractions and, later, add them.

Key facts

  • Multiply or divide the top AND the bottom by the same number to make an equivalent fraction.
  • Adding the same number to the top and bottom does NOT keep a fraction the same: 1/2 is not equal to 2/3.

Worked examples

Example 1

Find the missing number n: 3/4 = n/20

Answer: 15

Example 2

2/3 = p/15 = 18/q. Find p + q.

Answer: 37

Other years