Convert 0.75 to a fraction in lowest terms.

Convert 0.75 to a fraction in lowest terms.

• A. 75/100
• B. 2/3
• C. 3/4
• D. 4/5

Answer: (C)

Think of a decimal as a fraction using place value. 0.75 has two digits after the decimal, so it equals 75 over 100. To get the fraction in lowest terms, divide numerator and denominator by their greatest common divisor, which is 25. That gives 75 ÷ 25 = 3 and 100 ÷ 25 = 4, so the fraction is 3/4. This is in lowest terms because 3 and 4 share no common factors other than 1. The other options correspond to different numbers or to the unreduced form: 2/3 is about 0.666..., not 0.75; 4/5 is 0.8, also not 0.75; and 75/100 simplifies to 3/4, which is already the answer in lowest terms.

Think of a decimal as a fraction using place value. 0.75 has two digits after the decimal, so it equals 75 over 100. To get the fraction in lowest terms, divide numerator and denominator by their greatest common divisor, which is 25. That gives 75 ÷ 25 = 3 and 100 ÷ 25 = 4, so the fraction is 3/4. This is in lowest terms because 3 and 4 share no common factors other than 1. The other options correspond to different numbers or to the unreduced form: 2/3 is about 0.666..., not 0.75; 4/5 is 0.8, also not 0.75; and 75/100 simplifies to 3/4, which is already the answer in lowest terms.