Compare 1/75 and 8/27
1/75 is smaller than 8/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 27 is 675
Next, find the equivalent fraction of both fractional numbers with denominator 675 - For the 1st fraction, since 75 × 9 = 675,
1/75 = 1 × 9/75 × 9 = 9/675 - Likewise, for the 2nd fraction, since 27 × 25 = 675,
8/27 = 8 × 25/27 × 25 = 200/675 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 9/675 < 200/675 or 1/75 < 8/27
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