Compare 1/75 and 81/90
1/75 is smaller than 81/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 90 is 450
Next, find the equivalent fraction of both fractional numbers with denominator 450 - For the 1st fraction, since 75 × 6 = 450,
1/75 = 1 × 6/75 × 6 = 6/450 - Likewise, for the 2nd fraction, since 90 × 5 = 450,
81/90 = 81 × 5/90 × 5 = 405/450 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 6/450 < 405/450 or 1/75 < 81/90
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