Compare 10/75 and 2/27
10/75 is greater than 2/27
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,
10/75 = 10 × 9/75 × 9 = 90/675 - Likewise, for the 2nd fraction, since 27 × 25 = 675,
2/27 = 2 × 25/27 × 25 = 50/675 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/675 > 50/675 or 10/75 > 2/27
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