MathsFreePrintable

Equivalent Fractions Exploration

A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.

Download now

Name:Date:

Equivalent Fractions Exploration

Help a food truck prepare fair portions. Equivalent fractions name the same amount, even when the numbers look different. Show your thinking where you can.

Spot the matches

Read each fraction carefully. The top number is the numerator; the bottom number is the denominator.

1.Which fraction is equivalent to 1/2?

2.Select every fraction equivalent to 1/3: 2/6, 3/6, 4/12, 3/9.

3.A tray is divided into 8 equal pieces, and 4 are filled with muffins. What fraction of the tray is filled? Write an equivalent fraction with denominator 2.

Build equivalent fractions

Multiplying or dividing the numerator and denominator by the same number keeps the fraction's value the same.

4.Complete the fraction family: 1/2 = __/4 = __/8 = __/10.

5.Fill in the missing numerator: 2/3 = __/12.

6.True or false? 3/8 is equivalent to 6/16. Explain briefly by describing what happened to the numerator and denominator.

7.The same sandwich is cut into 4 equal pieces or 8 equal pieces. Shade one half in each strip to see the same amount represented in two ways.

Fractions on a number line

Fractions that land on the same point have the same value.

8.Place 1/2, 2/4, 1/4 and 3/4 on the number line. Which two fractions land at the same point?

Food-truck challenges

Use equivalent fractions to make fair comparisons and explain your reasoning.

9.Aisha eats 2/8 of a fruit loaf and Aria eats 1/4 of an identical loaf. Who eats more, or are the amounts equal? Show an equivalent-fraction calculation.

10.Kai has poured 3/6 of a bottle of water. Write this amount as a fraction with denominator 2, then name its simplest form.

11.Invent two different fractions equivalent to 1/5. In one sentence, explain why they are equivalent.