Compare 75/54 and 30/21
1st number: 1 21/54, 2nd number: 1 9/21
75/54 is smaller than 30/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 21 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 54 × 7 = 378,
75/54 = 75 × 7/54 × 7 = 525/378 - Likewise, for the 2nd fraction, since 21 × 18 = 378,
30/21 = 30 × 18/21 × 18 = 540/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 525/378 < 540/378 or 75/54 < 30/21
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