Compare 21/9 and 81/8
1st number: 2 3/9, 2nd number: 10 1/8
21/9 is smaller than 81/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 8 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 9 × 8 = 72,
21/9 = 21 × 8/9 × 8 = 168/72 - Likewise, for the 2nd fraction, since 8 × 9 = 72,
81/8 = 81 × 9/8 × 9 = 729/72 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 168/72 < 729/72 or 21/9 < 81/8
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