Compare 12/54 and 45/56
12/54 is smaller than 45/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 56 is 1512
Next, find the equivalent fraction of both fractional numbers with denominator 1512 - For the 1st fraction, since 54 × 28 = 1512,
12/54 = 12 × 28/54 × 28 = 336/1512 - Likewise, for the 2nd fraction, since 56 × 27 = 1512,
45/56 = 45 × 27/56 × 27 = 1215/1512 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 336/1512 < 1215/1512 or 12/54 < 45/56
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