Compare 3/98 and 98/9
1st number: 3/98, 2nd number: 10 8/9
3/98 is smaller than 98/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 9 is 882
Next, find the equivalent fraction of both fractional numbers with denominator 882 - For the 1st fraction, since 98 × 9 = 882,
3/98 = 3 × 9/98 × 9 = 27/882 - Likewise, for the 2nd fraction, since 9 × 98 = 882,
98/9 = 98 × 98/9 × 98 = 9604/882 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 27/882 < 9604/882 or 3/98 < 98/9
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