Compare 10/81 and 15/49
10/81 is smaller than 15/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 49 is 3969
Next, find the equivalent fraction of both fractional numbers with denominator 3969 - For the 1st fraction, since 81 × 49 = 3969,
10/81 = 10 × 49/81 × 49 = 490/3969 - Likewise, for the 2nd fraction, since 49 × 81 = 3969,
15/49 = 15 × 81/49 × 81 = 1215/3969 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 490/3969 < 1215/3969 or 10/81 < 15/49
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