Convert 0.15 to a fraction.

Convert 0.15 to a fraction.

• A. 1/6
• B. 5/32
• C. 3/20
• D. 2/15

Answer: (C)

When converting a terminating decimal to a fraction, use the place value after the decimal to form the numerator and a power of ten for the denominator. For 0.15, there are two digits after the decimal, so it becomes 15 over 100, or 15/100. Reduce by the greatest common divisor of 15 and 100, which is 5, giving 3/20. This fraction is already in simplest terms since 3 and 20 share no common factor besides 1. Therefore, 0.15 equals 3/20. The other options correspond to decimals that aren’t exactly 0.15: 1/6 is about 0.1667, 5/32 is 0.15625, and 2/15 is about 0.1333.

When converting a terminating decimal to a fraction, use the place value after the decimal to form the numerator and a power of ten for the denominator. For 0.15, there are two digits after the decimal, so it becomes 15 over 100, or 15/100. Reduce by the greatest common divisor of 15 and 100, which is 5, giving 3/20. This fraction is already in simplest terms since 3 and 20 share no common factor besides 1. Therefore, 0.15 equals 3/20.

The other options correspond to decimals that aren’t exactly 0.15: 1/6 is about 0.1667, 5/32 is 0.15625, and 2/15 is about 0.1333.