Compare 10/84 and 8/49
10/84 is smaller than 8/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 49 is 588
Next, find the equivalent fraction of both fractional numbers with denominator 588 - For the 1st fraction, since 84 × 7 = 588,
10/84 = 10 × 7/84 × 7 = 70/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
8/49 = 8 × 12/49 × 12 = 96/588 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 70/588 < 96/588 or 10/84 < 8/49
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