Compare 5/84 and 30/98
5/84 is smaller than 30/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 98 is 588
Next, find the equivalent fraction of both fractional numbers with denominator 588 - For the 1st fraction, since 84 × 7 = 588,
5/84 = 5 × 7/84 × 7 = 35/588 - Likewise, for the 2nd fraction, since 98 × 6 = 588,
30/98 = 30 × 6/98 × 6 = 180/588 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 35/588 < 180/588 or 5/84 < 30/98
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