Compare 20/72 and 20/30
20/72 is smaller than 20/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 30 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 72 × 5 = 360,
20/72 = 20 × 5/72 × 5 = 100/360 - Likewise, for the 2nd fraction, since 30 × 12 = 360,
20/30 = 20 × 12/30 × 12 = 240/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 100/360 < 240/360 or 20/72 < 20/30
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