Compare 30/75 and 15/27
30/75 is smaller than 15/27
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,
30/75 = 30 × 9/75 × 9 = 270/675 - Likewise, for the 2nd fraction, since 27 × 25 = 675,
15/27 = 15 × 25/27 × 25 = 375/675 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/675 < 375/675 or 30/75 < 15/27
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