Compare 75/54 and 21/16
1st number: 1 21/54, 2nd number: 1 5/16
75/54 is greater than 21/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 16 is 432
Next, find the equivalent fraction of both fractional numbers with denominator 432 - For the 1st fraction, since 54 × 8 = 432,
75/54 = 75 × 8/54 × 8 = 600/432 - Likewise, for the 2nd fraction, since 16 × 27 = 432,
21/16 = 21 × 27/16 × 27 = 567/432 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 600/432 > 567/432 or 75/54 > 21/16
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