In a furniture store, 2/6 of the couches are gray. 1/4 of the gray couches are on sale. What fraction of the couches are both gray and on sale?
*
2 points
3/10
5/10
1/12
12/144
To find the fraction of the couches that are both gray and on sale, you need to find the product of the fractions representing the proportion of gray couches and the proportion of gray couches that are on sale.
2/6 of the couches are gray, which simplifies to 1/3.
1/4 of the gray couches are on sale.
So, the fraction of the couches that are both gray and on sale is (1/3) * (1/4) = 1/12.
Therefore, the correct answer is 1/12.