Compare 35/98 and 30/21
1st number: 35/98, 2nd number: 1 9/21
35/98 is smaller than 30/21
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,
35/98 = 35 × 3/98 × 3 = 105/294 - Likewise, for the 2nd fraction, since 21 × 14 = 294,
30/21 = 30 × 14/21 × 14 = 420/294 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/294 < 420/294 or 35/98 < 30/21
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