Multiply 2/3 by 3/4. What is the product?

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Multiple Choice

Multiply 2/3 by 3/4. What is the product?

Explanation:
When you multiply fractions, multiply the numerators together and the denominators together. You can also simplify before multiplying by canceling common factors across the two fractions. Here, the 3 in the bottom of the first fraction and the 3 in the top of the second fraction cancel each other, leaving (2/1) × (1/4). That equals 2/4, which reduces to 1/2. You can see this another way by multiplying straight: 2 × 3 = 6 on top and 3 × 4 = 12 on the bottom, giving 6/12, which also reduces to 1/2. So the product is 1/2.

When you multiply fractions, multiply the numerators together and the denominators together. You can also simplify before multiplying by canceling common factors across the two fractions.

Here, the 3 in the bottom of the first fraction and the 3 in the top of the second fraction cancel each other, leaving (2/1) × (1/4). That equals 2/4, which reduces to 1/2. You can see this another way by multiplying straight: 2 × 3 = 6 on top and 3 × 4 = 12 on the bottom, giving 6/12, which also reduces to 1/2.

So the product is 1/2.

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