Compare 21/75 and 7/27
21/75 is greater than 7/27
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,
21/75 = 21 × 9/75 × 9 = 189/675 - Likewise, for the 2nd fraction, since 27 × 25 = 675,
7/27 = 7 × 25/27 × 25 = 175/675 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/675 > 175/675 or 21/75 > 7/27
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