Compare 5/32 and 75/81
5/32 is smaller than 75/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 81 is 2592
Next, find the equivalent fraction of both fractional numbers with denominator 2592 - For the 1st fraction, since 32 × 81 = 2592,
5/32 = 5 × 81/32 × 81 = 405/2592 - Likewise, for the 2nd fraction, since 81 × 32 = 2592,
75/81 = 75 × 32/81 × 32 = 2400/2592 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 405/2592 < 2400/2592 or 5/32 < 75/81
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