Compare 4/21 and 7/54
4/21 is greater than 7/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 54 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 21 × 18 = 378,
4/21 = 4 × 18/21 × 18 = 72/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
7/54 = 7 × 7/54 × 7 = 49/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72/378 > 49/378 or 4/21 > 7/54
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