Which fraction equals 12/84?

Which fraction equals 12/84?

• A. 7/42
• B. 1/8
• C. 6/42
• D. 1/7

Answer: (D)

Reducing fractions to their lowest terms shows when two fractions represent the same value. The greatest common divisor of 12 and 84 is 12, so divide both by 12: 12 ÷ 12 = 1 and 84 ÷ 12 = 7, giving 1/7. Therefore, 12/84 equals 1/7. Among the options, this is the simplest form that matches the value. (Note: 6/42 also equals 1/7, but it isn’t in lowest terms; the standard simplest form is 1/7.)

Reducing fractions to their lowest terms shows when two fractions represent the same value. The greatest common divisor of 12 and 84 is 12, so divide both by 12: 12 ÷ 12 = 1 and 84 ÷ 12 = 7, giving 1/7. Therefore, 12/84 equals 1/7. Among the options, this is the simplest form that matches the value. (Note: 6/42 also equals 1/7, but it isn’t in lowest terms; the standard simplest form is 1/7.)