Compare 2/81 and 8/90
2/81 is smaller than 8/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 90 is 810
Next, find the equivalent fraction of both fractional numbers with denominator 810 - For the 1st fraction, since 81 × 10 = 810,
2/81 = 2 × 10/81 × 10 = 20/810 - Likewise, for the 2nd fraction, since 90 × 9 = 810,
8/90 = 8 × 9/90 × 9 = 72/810 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 20/810 < 72/810 or 2/81 < 8/90
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