Compare 12/98 and 40/3
1st number: 12/98, 2nd number: 13 1/3
12/98 is smaller than 40/3
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 3 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 98 × 3 = 294,
12/98 = 12 × 3/98 × 3 = 36/294 - Likewise, for the 2nd fraction, since 3 × 98 = 294,
40/3 = 40 × 98/3 × 98 = 3920/294 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 36/294 < 3920/294 or 12/98 < 40/3
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