NumberKey Stage 3

Equivalent fractions

Make a fraction with the same value using a different numerator and denominator.

  • Multiply or divide the numerator and denominator by the same non-zero number.
  • The size of each part changes, but the total proportion stays the same.
  • Use the whole chain when missing numbers occur in more than one fraction.

Example 1

Find one missing number

Complete the equivalent fraction.

(2) over (3)=( blank ) over (15). From fraction 1 to fraction 2, times 5 for both numerator and denominator.

Example 2

A chain of three fractions

Find the missing values of and .

(30) over (40)=(b) over (8)=(18) over (a). From fraction 1 to fraction 2, divided by 5 for both numerator and denominator. From fraction 2 to fraction 3, times 3 for both numerator and denominator.
Simplify the numerical terms and collect like terms.

Remember
Whatever you do to the numerator, do the same to the denominator.

Your turn

Question 1

Find the missing numerator.

Check answer(2) over (3)=( blank ) over (12). From fraction 1 to fraction 2, times 4 for both numerator and denominator.
Question 2

Find the missing numerator.

Check answer(3) over (5)=( blank ) over (20). From fraction 1 to fraction 2, times 4 for both numerator and denominator.
Question 3

Find the missing numerator.

Check answer(5) over (8)=( blank ) over (24). From fraction 1 to fraction 2, times 3 for both numerator and denominator.
Question 4

Find the missing values of and .

Check answer(12) over (a)=(b) over (8)=(15) over (40). From fraction 1 to fraction 2, divided by 4 for both numerator and denominator. From fraction 2 to fraction 3, times 5 for both numerator and denominator.
Simplify the numerical terms and collect like terms.
Question 5

Find the missing values of and .

Check answer(15) over (a)=(b) over (6)=(20) over (24). From fraction 1 to fraction 2, divided by 3 for both numerator and denominator. From fraction 2 to fraction 3, times 4 for both numerator and denominator.
Simplify the numerical terms and collect like terms.
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