Compare 21/27 and 48/56
21/27 is smaller than 48/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 56 is 1512
Next, find the equivalent fraction of both fractional numbers with denominator 1512 - For the 1st fraction, since 27 × 56 = 1512,
21/27 = 21 × 56/27 × 56 = 1176/1512 - Likewise, for the 2nd fraction, since 56 × 27 = 1512,
48/56 = 48 × 27/56 × 27 = 1296/1512 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1176/1512 < 1296/1512 or 21/27 < 48/56
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