Compare 8/14 and 49/81
8/14 is smaller than 49/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 81 is 1134
Next, find the equivalent fraction of both fractional numbers with denominator 1134 - For the 1st fraction, since 14 × 81 = 1134,
8/14 = 8 × 81/14 × 81 = 648/1134 - Likewise, for the 2nd fraction, since 81 × 14 = 1134,
49/81 = 49 × 14/81 × 14 = 686/1134 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 648/1134 < 686/1134 or 8/14 < 49/81
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