Compare 7/84 and 84/49
1st number: 7/84, 2nd number: 1 35/49
7/84 is smaller than 84/49
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,
7/84 = 7 × 7/84 × 7 = 49/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
84/49 = 84 × 12/49 × 12 = 1008/588 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 49/588 < 1008/588 or 7/84 < 84/49
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