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:[tex]\frac{1}{12}[/tex]     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 [tex]1-\frac{2}{3}\Rightarrow \frac{3}{3}-\frac{2}{3}=\frac{3-2}{3}=\frac{1}{3}[/tex].The fraction of bedspread covered in red stripes would be 1/4 of 1/3.[tex]\text{Bedspread covered in red stripes}=\frac{1}{4}\times \frac{1}{3}[/tex][tex]\text{Bedspread covered in red stripes}=\frac{1\times 1}{4\times 3}[/tex][tex]\text{Bedspread covered in red stripes}=\frac{1}{12}[/tex]Therefore, [tex]\frac{1}{12}[/tex] of bedspread is covered in red strips.