Compare 15/24 and 20/30
15/24 is smaller than 20/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 30 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 24 × 5 = 120,
15/24 = 15 × 5/24 × 5 = 75/120 - Likewise, for the 2nd fraction, since 30 × 4 = 120,
20/30 = 20 × 4/30 × 4 = 80/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 75/120 < 80/120 or 15/24 < 20/30
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