Compare 42/56 and 21/27
42/56 is smaller than 21/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 27 is 1512
Next, find the equivalent fraction of both fractional numbers with denominator 1512 - For the 1st fraction, since 56 × 27 = 1512,
42/56 = 42 × 27/56 × 27 = 1134/1512 - Likewise, for the 2nd fraction, since 27 × 56 = 1512,
21/27 = 21 × 56/27 × 56 = 1176/1512 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1134/1512 < 1176/1512 or 42/56 < 21/27
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