Compare 21/54 and 30/48
21/54 is smaller than 30/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 48 is 432
Next, find the equivalent fraction of both fractional numbers with denominator 432 - For the 1st fraction, since 54 × 8 = 432,
21/54 = 21 × 8/54 × 8 = 168/432 - Likewise, for the 2nd fraction, since 48 × 9 = 432,
30/48 = 30 × 9/48 × 9 = 270/432 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 168/432 < 270/432 or 21/54 < 30/48
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