Compare 3/20 and 12/24
3/20 is smaller than 12/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 24 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 20 × 6 = 120,
3/20 = 3 × 6/20 × 6 = 18/120 - Likewise, for the 2nd fraction, since 24 × 5 = 120,
12/24 = 12 × 5/24 × 5 = 60/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 18/120 < 60/120 or 3/20 < 12/24
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