Compare 21/4 and 98/27
1st number: 5 1/4, 2nd number: 3 17/27
21/4 is greater than 98/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 27 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 4 × 27 = 108,
21/4 = 21 × 27/4 × 27 = 567/108 - Likewise, for the 2nd fraction, since 27 × 4 = 108,
98/27 = 98 × 4/27 × 4 = 392/108 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 567/108 > 392/108 or 21/4 > 98/27
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