Compare 1/84 and 50/49
1st number: 1/84, 2nd number: 1 1/49
1/84 is smaller than 50/49
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,
1/84 = 1 × 7/84 × 7 = 7/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
50/49 = 50 × 12/49 × 12 = 600/588 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 7/588 < 600/588 or 1/84 < 50/49
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