How it works
Tile a rectangle with fraction sides using small squares and count them.
The area is the same as multiplying the sides.
3/7 × 1/7 is 3 small squares out of 49: 3/49.
Worked examples
Count squares
- 4/5 by 3/5 = ? small squares
- 4/5 by 3/5 uses 4 × 3 small squares.
- 4 × 3 = 12.
- So the answer is 12.
Multiply the sides
- 3/7 × 1/7 = ?
- Tops times tops: 3 × 1 = 3.
- Bottoms times bottoms: 7 × 7 = 49, so 3/49.
- So the answer is 3/49.
A side longer than one
- 3/7 by 11/7 = ? small squares
- 3/7 by 11/7 uses 3 × 11 small squares.
- 3 × 11 = 33.
- So the answer is 33.
A taste of the worksheet
These are the first problems of set A. The printable sheet has many more, with an answer key.
- 1/5 by 4/5 = __ small squares
- 2/5 by 1/5 = __ small squares
- 4/5 by 3/5 = __ small squares
- 4/5 by 4/5 = __ small squares
- 2/5 by 2/5 = __ small squares
Words to know
- area