Compare 3/21 and 30/98
3/21 is smaller than 30/98
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,
3/21 = 3 × 14/21 × 14 = 42/294 - Likewise, for the 2nd fraction, since 98 × 3 = 294,
30/98 = 30 × 3/98 × 3 = 90/294 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 42/294 < 90/294 or 3/21 < 30/98
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