Compare 4/27 and 30/75
4/27 is smaller than 30/75
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,
4/27 = 4 × 25/27 × 25 = 100/675 - Likewise, for the 2nd fraction, since 75 × 9 = 675,
30/75 = 30 × 9/75 × 9 = 270/675 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 100/675 < 270/675 or 4/27 < 30/75
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