Equivalent Fraction Chain

Free interactive math game: Equivalent Fraction Chain — 1/2 = ?/8. Part of the Fractions category on MathKite.

Example problems

Taken from the generator that powers this exercise. A fresh set appears every time the page is opened, and the printable worksheet holds ten of them.

  1. Find the missing numerator: 1/4 = ?/16 1/4
  2. Find the missing numerator: 2/3 = ?/6 2/3
  3. Find the missing numerator: 1/3 = ?/15 1/3
  4. Find the missing numerator: 2/3 = ?/18 2/3

About this exercise

Completing a chain of equivalent fractions.

How to solve it

Find what the known part was multiplied or divided by, then apply the same factor to the other part.

Worked example

From two thirds to a fraction over 12, the denominator was multiplied by 4, so the numerator becomes 8.

Common mistake

Adding the same number to both parts. Equivalence comes from multiplying, not from adding.