Equivalent Fractions Chart

Equivalent fractions, halves to twelfths

Each row starts with a fraction in simplest form. Every fraction after it is equal, made by multiplying the top and bottom by the same number. Tap a fraction to see it as a picture.

The equivalent fractions kids use most

• 1/2 = 2/4 = 3/6 = 4/8 = 5/10 = 6/12
• 1/3 = 2/6 = 4/12, and 2/3 = 4/6 = 8/12
• 1/4 = 2/8 = 3/12, and 3/4 = 6/8 = 9/12
• 1/5 = 2/10, 2/5 = 4/10, 3/5 = 6/10 and 4/5 = 8/10
• 1/6 = 2/12, and 5/6 = 10/12

How to use the wall

Every row is the same whole, so equal fractions line up. Lay a ruler straight down from the end of 1/2 and it lands exactly on the end of 2/4, 3/6, 4/8, 5/10 and 6/12. That is the whole idea of equivalent fractions, and kids can see it without any rules.

The blank wall works better than the labelled one for practice. Kids have to count the bricks to name them, and coloring each row makes them notice that more bricks means smaller bricks. Print it on card, cut the rows into strips, and kids can lay one strip on another to compare.

How to read the chart

Each row starts with a fraction in simplest form and lists the fractions equal to it. Moving along a row multiplies the top and bottom by the same number: 1/3 × 2 is 2/6, and 1/3 × 4 is 4/12. The chart only uses the denominators you picked, which is why 1/3 skips 3/9: ninths aren't on the wall.

The first row is a reminder that fractions like 4/4 and 12/12 are one whole. The equivalent fractions lesson explains the multiply rule with pictures, and the equivalent fractions worksheets practice it with fresh numbers.

Then let them play

In the equivalent fractions game, the Magic Knife cuts every slice in two so kids watch 1/2 become 2/4 on the cake. The fraction wall page has the same wall to tap, with a page for each fraction.

Questions