Compare 15/56 and 42/54
15/56 is smaller than 42/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 54 is 1512
Next, find the equivalent fraction of both fractional numbers with denominator 1512 - For the 1st fraction, since 56 × 27 = 1512,
15/56 = 15 × 27/56 × 27 = 405/1512 - Likewise, for the 2nd fraction, since 54 × 28 = 1512,
42/54 = 42 × 28/54 × 28 = 1176/1512 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 405/1512 < 1176/1512 or 15/56 < 42/54
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