Compare 10/81 and 10/32
10/81 is smaller than 10/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 32 is 2592
Next, find the equivalent fraction of both fractional numbers with denominator 2592 - For the 1st fraction, since 81 × 32 = 2592,
10/81 = 10 × 32/81 × 32 = 320/2592 - Likewise, for the 2nd fraction, since 32 × 81 = 2592,
10/32 = 10 × 81/32 × 81 = 810/2592 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 320/2592 < 810/2592 or 10/81 < 10/32
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