Compare 8/21 and 27/48
8/21 is smaller than 27/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 48 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 21 × 16 = 336,
8/21 = 8 × 16/21 × 16 = 128/336 - Likewise, for the 2nd fraction, since 48 × 7 = 336,
27/48 = 27 × 7/48 × 7 = 189/336 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 128/336 < 189/336 or 8/21 < 27/48
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