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