Evaluate (64 × 3/8) ÷ (3/4).

Evaluate (64 × 3/8) ÷ (3/4).

• A. 32
• B. 16
• C. 48
• D. 64

Answer: (A)

Dividing by a fraction is the same as multiplying by its reciprocal. So you can rewrite (64 × 3/8) ÷ (3/4) as 64 × 3/8 × 4/3. Now simplify: the 3 in the numerator and the 3 in the denominator cancel, leaving 64 × 4/8. Since 4/8 simplifies to 1/2, you get 64 × 1/2 = 32. So the value is 32. The other options would come from mistakes like not multiplying by the reciprocal or not simplifying factors correctly, but this approach consistently yields 32.

Dividing by a fraction is the same as multiplying by its reciprocal. So you can rewrite (64 × 3/8) ÷ (3/4) as 64 × 3/8 × 4/3.

Now simplify: the 3 in the numerator and the 3 in the denominator cancel, leaving 64 × 4/8. Since 4/8 simplifies to 1/2, you get 64 × 1/2 = 32.

So the value is 32. The other options would come from mistakes like not multiplying by the reciprocal or not simplifying factors correctly, but this approach consistently yields 32.