Compare 21/2 and 98/9
1st number: 10 1/2, 2nd number: 10 8/9
21/2 is smaller than 98/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 9 is 18
Next, find the equivalent fraction of both fractional numbers with denominator 18 - For the 1st fraction, since 2 × 9 = 18,
21/2 = 21 × 9/2 × 9 = 189/18 - Likewise, for the 2nd fraction, since 9 × 2 = 18,
98/9 = 98 × 2/9 × 2 = 196/18 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/18 < 196/18 or 21/2 < 98/9
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