Compare 4/21 and 21/98
4/21 is smaller than 21/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 98 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 21 × 14 = 294,
4/21 = 4 × 14/21 × 14 = 56/294 - Likewise, for the 2nd fraction, since 98 × 3 = 294,
21/98 = 21 × 3/98 × 3 = 63/294 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 56/294 < 63/294 or 4/21 < 21/98
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