Compare 10/98 and 12/21
10/98 is smaller than 12/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 21 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 98 × 3 = 294,
10/98 = 10 × 3/98 × 3 = 30/294 - Likewise, for the 2nd fraction, since 21 × 14 = 294,
12/21 = 12 × 14/21 × 14 = 168/294 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/294 < 168/294 or 10/98 < 12/21
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