Compare 21/5 and 98/9
1st number: 4 1/5, 2nd number: 10 8/9
21/5 is smaller than 98/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 9 is 45
Next, find the equivalent fraction of both fractional numbers with denominator 45 - For the 1st fraction, since 5 × 9 = 45,
21/5 = 21 × 9/5 × 9 = 189/45 - Likewise, for the 2nd fraction, since 9 × 5 = 45,
98/9 = 98 × 5/9 × 5 = 490/45 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/45 < 490/45 or 21/5 < 98/9
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