Compare 7/21 and 30/60
7/21 is smaller than 30/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 60 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 21 × 20 = 420,
7/21 = 7 × 20/21 × 20 = 140/420 - Likewise, for the 2nd fraction, since 60 × 7 = 420,
30/60 = 30 × 7/60 × 7 = 210/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 140/420 < 210/420 or 7/21 < 30/60
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