Two drag-and-drop exercises to build fraction sense — matching equivalent fractions, and ordering fractions from smallest to largest. Drag each tile into place, then check your answers instantly.
Works with a mouse, trackpad, or touch screen. Press and hold a tile, drag it to a slot, and release. Use "Check My Work" any time to see how you're doing — you can keep adjusting tiles afterwards and check again.
Activity 1 — Match the Equivalent Fractions
6 pairs
Drag each tile from the tray below onto the box that shows its equivalent fraction.
Equivalent Fractions
0 of 6 placed
Six target fractions are shown below. Drag the matching equivalent fraction from the tray into the empty box under each one.
1/2
2/3
3/4
1/4
2/5
3/10
2/4
4/6
6/8
3/12
4/10
9/30
Place all 6 tiles, then check.
Activity 2 — Order the Fractions on a Number Line
5 tiles
Drag the fraction tiles into the boxes below, from smallest (left) to largest (right).
Smallest to Largest
0 of 5 placed
These five fractions all sit between 0 and 1. Order them from smallest to largest, left to right.
01
1/2
1/8
5/8
1/4
7/8
Place all 5 tiles, then check.
0/11
Tiles placed correctly
Equivalent and Ordered Fractions: A Quick Guide
Equivalent fractions look different but have the same value, like 1/2 and 2/4. To order fractions, put them from smallest to largest. The easiest way is to give them the same denominator (the bottom number) so that you can compare the numerators (the top numbers).
Three worked examples
Example 1 · Make an equivalent fraction
Multiply the top and the bottom by the same number. 1/2 × (2/2) = 2/4. So 1/2 and 2/4 are equivalent.
Example 2 · Simplify
Divide the top and the bottom by the same number. 9/30 ÷ (3/3) = 3/10. So 9/30 and 3/10 are equivalent.
Example 3 · Order fractions
Put 1/4, 5/8 and 1/2 in order. Change all to eighths: 1/4 = 2/8, 1/2 = 4/8 and 5/8 stays the same. Since 2 < 4 < 5, the order is 1/4, 1/2, 5/8.
Three common mistakes
Adding to the top and the bottom. 1/2 does not become 2/3 by adding 1 to each number. You must multiply or divide both numbers by the same number.
Thinking a bigger bottom number means a bigger fraction. 1/8 is smaller than 1/4, because eighths are smaller pieces than quarters.
Comparing only the top numbers. 5 is bigger than 3, but 5/8 is smaller than 3/4. Change both to eighths: 3/4 = 6/8, and 6/8 is bigger than 5/8.
How to use the activity
In Activity 1, press and hold a tile in the tray, drag it under the fraction it equals, then let go.
In Activity 2, drag the five tiles into the boxes from smallest on the left to largest on the right.
Press Check My Work. Red tiles are wrong, so move them and check again. Reset starts again.
Stuck? Multiply or divide the top and the bottom by the same number, or turn the fractions into the same denominator.