Compare 15/98 and 98/3
1st number: 15/98, 2nd number: 32 2/3
15/98 is smaller than 98/3
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,
15/98 = 15 × 3/98 × 3 = 45/294 - Likewise, for the 2nd fraction, since 3 × 98 = 294,
98/3 = 98 × 98/3 × 98 = 9604/294 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 45/294 < 9604/294 or 15/98 < 98/3
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