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

Answer:

$\frac{1}{12}$    

Step-by-step 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 $1-\frac{2}{3}\Rightarrow \frac{3}{3}-\frac{2}{3}=\frac{3-2}{3}=\frac{1}{3}$.

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

$\text{Bedspread covered in red stripes}=\frac{1}{4}\times \frac{1}{3}$

$\text{Bedspread covered in red stripes}=\frac{1\times 1}{4\times 3}$

$\text{Bedspread covered in red stripes}=\frac{1}{12}$

Therefore, $\frac{1}{12}$ of bedspread is covered in red strips.