What is 0.75 divided by 0.5?

What is 0.75 divided by 0.5?

• A. 1.5
• B. 0.75
• C. 1.0
• D. 2.0

Answer: (A)

Dividing by a decimal is the same as multiplying by its reciprocal. The reciprocal of 0.5 is 2, since 0.5 × 2 = 1. So 0.75 ÷ 0.5 equals 0.75 × 2 = 1.5. You can also see this by turning decimals into fractions: 0.75 is 3/4 and 0.5 is 1/2, so (3/4) ÷ (1/2) = (3/4) × (2/1) = 6/4 = 3/2 = 1.5. A quick check is to multiply the result by 0.5 to get back 0.75, which confirms the quotient.

Dividing by a decimal is the same as multiplying by its reciprocal. The reciprocal of 0.5 is 2, since 0.5 × 2 = 1. So 0.75 ÷ 0.5 equals 0.75 × 2 = 1.5. You can also see this by turning decimals into fractions: 0.75 is 3/4 and 0.5 is 1/2, so (3/4) ÷ (1/2) = (3/4) × (2/1) = 6/4 = 3/2 = 1.5. A quick check is to multiply the result by 0.5 to get back 0.75, which confirms the quotient.