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?
To find what fraction of the couches are gray and on sale, we multiply the fraction of the couches that are gray by the fraction of the gray couches that are on sale: (2/6) x (1/4) = 2/24 = 1/12, (since 2 and 24 are both divisible by 2). Answer: \boxed{\frac{1}{12}}.
To find the fraction of couches that are both gray and on sale, you need to multiply the fractions 2/6 and 1/4.
Multiply the numerators of the two fractions: 2 * 1 = 2.
Multiply the denominators of the two fractions: 6 * 4 = 24.
So, the fraction of couches that are both gray and on sale is 2/24.
To find the fraction of couches that are both gray and on sale, we need to multiply the fractions representing each condition.
First, we know that 2/6 of all the couches in the store are gray. To find the fraction of gray couches that are on sale, we need to multiply this fraction by the fraction representing the sale condition.
The fraction representing the sale condition is 1/4, as stated in the question.
Multiplying 2/6 by 1/4, we can simplify the multiplication by canceling out common factors. 2 and 4 can both be divided by 2:
2 ÷ 2 = 1
4 ÷ 2 = 2
So, 2/6 × 1/4 = 1/3 × 1/2.
To simplify the multiplication further, we multiply the numerators together (1 × 1) and multiply the denominators together (3 × 2).
1/1 × 1/3 × 1/2 = 1/6.
Therefore, the fraction of couches that are both gray and on sale is 1/6.