Compare 21/8 and 49/27
1st number: 2 5/8, 2nd number: 1 22/27
21/8 is greater than 49/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 27 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 8 × 27 = 216,
21/8 = 21 × 27/8 × 27 = 567/216 - Likewise, for the 2nd fraction, since 27 × 8 = 216,
49/27 = 49 × 8/27 × 8 = 392/216 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 567/216 > 392/216 or 21/8 > 49/27
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