Compare 8/98 and 10/21
8/98 is smaller than 10/21
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,
8/98 = 8 × 3/98 × 3 = 24/294 - Likewise, for the 2nd fraction, since 21 × 14 = 294,
10/21 = 10 × 14/21 × 14 = 140/294 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24/294 < 140/294 or 8/98 < 10/21
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