Compare 1/98 and 30/84
1/98 is smaller than 30/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 84 is 588
Next, find the equivalent fraction of both fractional numbers with denominator 588 - For the 1st fraction, since 98 × 6 = 588,
1/98 = 1 × 6/98 × 6 = 6/588 - Likewise, for the 2nd fraction, since 84 × 7 = 588,
30/84 = 30 × 7/84 × 7 = 210/588 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 6/588 < 210/588 or 1/98 < 30/84
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