Compare 6/49 and 30/54
6/49 is smaller than 30/54
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,
6/49 = 6 × 54/49 × 54 = 324/2646 - Likewise, for the 2nd fraction, since 54 × 49 = 2646,
30/54 = 30 × 49/54 × 49 = 1470/2646 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 324/2646 < 1470/2646 or 6/49 < 30/54
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