Equivalent Fractions: Fill in the Chain

About this worksheet

A free printable equivalent fractions worksheet for 4th grade with 10 chains like 2/3 = 4/? = ?/9 = 8/? = ?/15, half of them growing and half of them simplifying back to the start. Answer key included. It is built for fourth grade, around ages 9 to 10. Fold a strip of paper into equal parts to check a tricky one.

Answer key at a glance

1) 1 4 = 2 8 = 12 3 = 4 16 = 20 5; 2) 4 24 = 3 18 = 12 2 = 1 6; 3) 1 3 = 2 6 = 9 3 = 4 12 = 15 5; 4) 12 20 = 9 15 = 10 6 = 3 5; 5) 1 2 = 2 4 = 6 3 = 4 8 = 10 5; 6) 16 20 = 12 15 = 10 8 = 4 5; 7) 3 4 = 6 8 = 12 9 = 12 16 = 20 15; 8) 4 20 = 3 15 = 10 2 = 1 5. The key has 10 answers in all.

Tips for using it

• Shade the parts lightly with a colored pencil to see each fraction.
• Before naming a fraction, have the child count all the parts and write the denominator first, then count the shaded parts for the numerator; most errors come from doing it the other way.
• On the number line sheet, count the gaps between 0 and 1, not the tick marks; seven ticks make eight gaps, so the dot is in eighths.
• To compare fractions with the same numerator, remind kids that more pieces means smaller pieces: 1/6 is less than 1/4.

Printing tips

Download the PDF and print at 100% (or “fit to page” on A4). Page 1 is the worksheet and page 2 is the answer key with the answers in red; print just page 1 if you want to keep the answers for checking. Free for personal, family and classroom use.