Question

Marie is designing a bedspread for her grandson’s new bedroom. 2/3 of the bedspread is covered in race cars, and the rest is striped. 1/4 of the stripes are red. What fraction of the bedspread is covered in red stripes?

Answer 1

`(1)/(12)`

Explanation:

We have been given that Marie is designing a bedspread for her grandson’s new bedroom. 2/3 of the bedspread is covered in race cars, and the rest is striped. 1/4 of the stripes are red.

The striped bedspread would be
`1-(2)/(3)\Rightarrow (3)/(3)-(2)/(3)=(3-2)/(3)=(1)/(3)`.

The fraction of bedspread covered in red stripes would be 1/4 of 1/3.

`\text{Bedspread covered in red stripes}=(1)/(4)* (1)/(3)`

`\text{Bedspread covered in red stripes}=(1* 1)/(4* 3)`

`\text{Bedspread covered in red stripes}=(1)/(12)`

Therefore,
`(1)/(12)` of bedspread is covered in red strips.