Evaluate (32 × 3/8) ÷ (1/6).

Evaluate (32 × 3/8) ÷ (1/6).

• A. 16
• B. 12
• C. 72
• D. 24

Answer: (C)

This tests how to handle division with fractions by turning division by a fraction into multiplication by its reciprocal. First multiply 32 by 3/8: 32 × 3/8 = (32/8) × 3 = 4 × 3 = 12. Then divide by 1/6, which is the same as multiplying by its reciprocal: 12 ÷ (1/6) = 12 × 6 = 72. Alternatively, combine everything: (32 × 3/8) × (6/1) = 12 × 6 = 72. So the result is 72.

This tests how to handle division with fractions by turning division by a fraction into multiplication by its reciprocal.

First multiply 32 by 3/8: 32 × 3/8 = (32/8) × 3 = 4 × 3 = 12.

Then divide by 1/6, which is the same as multiplying by its reciprocal: 12 ÷ (1/6) = 12 × 6 = 72.

Alternatively, combine everything: (32 × 3/8) × (6/1) = 12 × 6 = 72.

So the result is 72.