Compare 7/27 and 45/56
7/27 is smaller than 45/56
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,
7/27 = 7 × 56/27 × 56 = 392/1512 - 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
- 392/1512 < 1215/1512 or 7/27 < 45/56
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