Compare 2/32 and 81/90
2/32 is smaller than 81/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 90 is 1440
Next, find the equivalent fraction of both fractional numbers with denominator 1440 - For the 1st fraction, since 32 × 45 = 1440,
2/32 = 2 × 45/32 × 45 = 90/1440 - Likewise, for the 2nd fraction, since 90 × 16 = 1440,
81/90 = 81 × 16/90 × 16 = 1296/1440 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/1440 < 1296/1440 or 2/32 < 81/90
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