Compare 14/49 and 35/81
14/49 is smaller than 35/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 81 is 3969
Next, find the equivalent fraction of both fractional numbers with denominator 3969 - For the 1st fraction, since 49 × 81 = 3969,
14/49 = 14 × 81/49 × 81 = 1134/3969 - Likewise, for the 2nd fraction, since 81 × 49 = 3969,
35/81 = 35 × 49/81 × 49 = 1715/3969 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1134/3969 < 1715/3969 or 14/49 < 35/81
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