Compare 6/98 and 40/84
6/98 is smaller than 40/84
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,
6/98 = 6 × 6/98 × 6 = 36/588 - Likewise, for the 2nd fraction, since 84 × 7 = 588,
40/84 = 40 × 7/84 × 7 = 280/588 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 36/588 < 280/588 or 6/98 < 40/84
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