Compare 21/98 and 4/30
21/98 is greater than 4/30
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,
21/98 = 21 × 15/98 × 15 = 315/1470 - Likewise, for the 2nd fraction, since 30 × 49 = 1470,
4/30 = 4 × 49/30 × 49 = 196/1470 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 315/1470 > 196/1470 or 21/98 > 4/30
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