Compare Fractions - Arithmetic Step by Step

Decide which is larger: 3/5 or 7/10. Find the LCD of 5 and 10, convert 3/5 to 6/10, then compare 6/10 and 7/10 directly. Because 6 < 7, we get 3/5 < 7/10.

Example

compare-fractions.math

3/5 and 7/10

step: LCD of 5 and 10 is 10
step: 3/5 x 2/2 = 6/10
step: 6/10 < 7/10
step: 3/5 < 7/10

common-denominator Two fractions can be compared only when they have the same denominator. Convert one or both fractions to equivalent ones using the LCD, then compare numerators. The fraction with the larger numerator is greater.