Compare 3/12 and 30/98
3/12 is smaller than 30/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 98 is 588
Next, find the equivalent fraction of both fractional numbers with denominator 588 - For the 1st fraction, since 12 × 49 = 588,
3/12 = 3 × 49/12 × 49 = 147/588 - 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
- 147/588 < 180/588 or 3/12 < 30/98
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