Compare 30/25 and 75/27
1st number: 1 5/25, 2nd number: 2 21/27
30/25 is smaller than 75/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 27 is 675
Next, find the equivalent fraction of both fractional numbers with denominator 675 - For the 1st fraction, since 25 × 27 = 675,
30/25 = 30 × 27/25 × 27 = 810/675 - Likewise, for the 2nd fraction, since 27 × 25 = 675,
75/27 = 75 × 25/27 × 25 = 1875/675 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 810/675 < 1875/675 or 30/25 < 75/27
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