Compare 12/98 and 20/30
12/98 is smaller than 20/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 30 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 98 × 15 = 1470,
12/98 = 12 × 15/98 × 15 = 180/1470 - Likewise, for the 2nd fraction, since 30 × 49 = 1470,
20/30 = 20 × 49/30 × 49 = 980/1470 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/1470 < 980/1470 or 12/98 < 20/30
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