Compare 8/49 and 35/54
8/49 is smaller than 35/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 54 is 2646
Next, find the equivalent fraction of both fractional numbers with denominator 2646 - For the 1st fraction, since 49 × 54 = 2646,
8/49 = 8 × 54/49 × 54 = 432/2646 - Likewise, for the 2nd fraction, since 54 × 49 = 2646,
35/54 = 35 × 49/54 × 49 = 1715/2646 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 432/2646 < 1715/2646 or 8/49 < 35/54
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