Compare 2/27 and 21/75
2/27 is smaller than 21/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 75 is 675
Next, find the equivalent fraction of both fractional numbers with denominator 675 - For the 1st fraction, since 27 × 25 = 675,
2/27 = 2 × 25/27 × 25 = 50/675 - Likewise, for the 2nd fraction, since 75 × 9 = 675,
21/75 = 21 × 9/75 × 9 = 189/675 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 50/675 < 189/675 or 2/27 < 21/75
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