Equivalent Fractions — Free KS3 Worksheet

Two fractions are equivalent when they are worth the same amount despite looking different. A half and three sixths are the same quantity written two ways. You move between them by multiplying or dividing the top and the bottom by the same number, and that single move is what simplifying, comparing and adding fractions are all built on. Get this sheet right and the rest of the fractions unit gets noticeably easier.

What is on the sheet

Missing numbers in both directions: sometimes the top is blank, sometimes the bottom. That matters more than it sounds, because a pupil can get every question right while only ever looking at one row. The numbers stay friendly throughout so the attention stays on the method. It finishes with word problems where the equivalence is buried in a sentence about a chocolate bar or two identical pizzas rather than handed over as two fractions.

Marking it

The equivalent fractions lesson uses two identical pizzas cut differently, which settles the adding mistake faster than any rule does.