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?
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3/10
5/10
1/12
12/144
To find the fraction of couches that are both gray and on sale, we need to multiply the fractions for gray couches and couches on sale: 2/6 * 1/4 = 2/24. Simplifying this fraction gives us 1/12. Therefore, 1/12 of the couches are both gray and on sale. The correct answer is 1/12.
To find the fraction of couches that are both gray and on sale, we need to multiply the fractions:
2/6 (gray couches) * 1/4 (gray couches on sale).
Let's simplify each fraction first.
2/6 can be simplified to 1/3 by dividing the numerator and denominator by 2.
1/4 cannot be simplified further, so we leave it as it is.
Now, let's multiply the fractions.
1/3 * 1/4 = (1 * 1) / (3 * 4) = 1/12.
Therefore, the fraction of the couches that are both gray and on sale is 1/12.
To find the fraction of couches that are both gray and on sale, we need to multiply the fractions representing the proportion of gray couches and the proportion of gray couches on sale.
Step 1: Find the fraction representing the proportion of gray couches.
Given that 2/6 of the couches are gray, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2. This gives us 1/3.
Step 2: Find the fraction representing the proportion of gray couches on sale.
Given that 1/4 of the gray couches are on sale, we can represent this fraction as 1/4.
Step 3: Multiply the fractions from step 1 and step 2.
1/3 * 1/4 = 1/12
Therefore, the fraction of couches that are both gray and on sale is 1/12.