Compare 21/9 and 84/10
1st number: 2 3/9, 2nd number: 8 4/10
21/9 is smaller than 84/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 10 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 9 × 10 = 90,
21/9 = 21 × 10/9 × 10 = 210/90 - Likewise, for the 2nd fraction, since 10 × 9 = 90,
84/10 = 84 × 9/10 × 9 = 756/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/90 < 756/90 or 21/9 < 84/10
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