Compare 21/8 and 16/27
1st number: 2 5/8, 2nd number: 16/27
21/8 is greater than 16/27
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,
16/27 = 16 × 8/27 × 8 = 128/216 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 567/216 > 128/216 or 21/8 > 16/27
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