Compare 30/84 and 42/98
30/84 is smaller than 42/98
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,
30/84 = 30 × 7/84 × 7 = 210/588 - Likewise, for the 2nd fraction, since 98 × 6 = 588,
42/98 = 42 × 6/98 × 6 = 252/588 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/588 < 252/588 or 30/84 < 42/98
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