Chris the Coyote sits by the creek and opens his storyteller's satchel.
"Once, Donnie built a little bed for clover beside his favorite stream," he says.
"It was 3/4 of a meter long and 2/3 of a meter wide."
"Donnie wanted to cover it with flat stones, each one shaped like a small rectangle."
"Each stone was 1/4 of a meter long and 1/3 of a meter wide."
"How many stones would fit? And what was the area of the bed?"
Chris smiles. "Donnie solved it slowly, one row at a time."
A square meter can hold 4 stones across and 3 stones down. That is 12 stones.
So each stone covers 1/12 of a square meter.
The bed is 3/4 meter long, so 3 stones fit along it.
It is 2/3 meter wide, so 2 stones fit across it.
3 × 2 = 6 stones, so the area is 6/12 of a square meter.
That matches multiplying the sides: 3/4 × 2/3 = 1/2.
The picture shows one square meter cut into 12 stones, 3 rows of 4.
| Sentence | True or false? |
|---|---|
| 3/4 × 2/3 = 6/12 | ? |
| 1/4 × 1/3 = 1/7 | ? |
| 1/2 × 3/4 = 3/8 | ? |
| 3 × 2/5 = 1 1/5 | ? |
What a story! Tomorrow Freddy has a fraction game.