Compare 3/54 and 30/49
3/54 is smaller than 30/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 49 is 2646
Next, find the equivalent fraction of both fractional numbers with denominator 2646 - For the 1st fraction, since 54 × 49 = 2646,
3/54 = 3 × 49/54 × 49 = 147/2646 - Likewise, for the 2nd fraction, since 49 × 54 = 2646,
30/49 = 30 × 54/49 × 54 = 1620/2646 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 147/2646 < 1620/2646 or 3/54 < 30/49
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