Compare 27/84 and 21/98
27/84 is greater than 21/98
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,
27/84 = 27 × 7/84 × 7 = 189/588 - Likewise, for the 2nd fraction, since 98 × 6 = 588,
21/98 = 21 × 6/98 × 6 = 126/588 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/588 > 126/588 or 27/84 > 21/98
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