Compare 8/27 and 21/28
8/27 is smaller than 21/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 28 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 27 × 28 = 756,
8/27 = 8 × 28/27 × 28 = 224/756 - Likewise, for the 2nd fraction, since 28 × 27 = 756,
21/28 = 21 × 27/28 × 27 = 567/756 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 224/756 < 567/756 or 8/27 < 21/28
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