Compare 10/3 and 98/27
1st number: 3 1/3, 2nd number: 3 17/27
10/3 is smaller than 98/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 27 is 27
Next, find the equivalent fraction of both fractional numbers with denominator 27 - For the 1st fraction, since 3 × 9 = 27,
10/3 = 10 × 9/3 × 9 = 90/27 - Likewise, for the 2nd fraction, since 27 × 1 = 27,
98/27 = 98 × 1/27 × 1 = 98/27 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/27 < 98/27 or 10/3 < 98/27
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