Compare 7/8 and 21/27
7/8 is greater than 21/27
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,
7/8 = 7 × 27/8 × 27 = 189/216 - Likewise, for the 2nd fraction, since 27 × 8 = 216,
21/27 = 21 × 8/27 × 8 = 168/216 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/216 > 168/216 or 7/8 > 21/27
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