Compare 10/49 and 40/54
10/49 is smaller than 40/54
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,
10/49 = 10 × 54/49 × 54 = 540/2646 - Likewise, for the 2nd fraction, since 54 × 49 = 2646,
40/54 = 40 × 49/54 × 49 = 1960/2646 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 540/2646 < 1960/2646 or 10/49 < 40/54
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