Compare 21/30 and 2/5
21/30 is greater than 2/5
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 5 is 30
Next, find the equivalent fraction of both fractional numbers with denominator 30 - For the 1st fraction, since 30 × 1 = 30,
21/30 = 21 × 1/30 × 1 = 21/30 - Likewise, for the 2nd fraction, since 5 × 6 = 30,
2/5 = 2 × 6/5 × 6 = 12/30 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 21/30 > 12/30 or 21/30 > 2/5
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