Compare 10/56 and 30/54
10/56 is smaller than 30/54
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,
10/56 = 10 × 27/56 × 27 = 270/1512 - Likewise, for the 2nd fraction, since 54 × 28 = 1512,
30/54 = 30 × 28/54 × 28 = 840/1512 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/1512 < 840/1512 or 10/56 < 30/54
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