Compare 21/98 and 30/49
21/98 is smaller than 30/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 49 is 98
Next, find the equivalent fraction of both fractional numbers with denominator 98 - For the 1st fraction, since 98 × 1 = 98,
21/98 = 21 × 1/98 × 1 = 21/98 - Likewise, for the 2nd fraction, since 49 × 2 = 98,
30/49 = 30 × 2/49 × 2 = 60/98 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 21/98 < 60/98 or 21/98 < 30/49
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