Compare 30/27 and 75/18
1st number: 1 3/27, 2nd number: 4 3/18
30/27 is smaller than 75/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 18 is 54
Next, find the equivalent fraction of both fractional numbers with denominator 54 - For the 1st fraction, since 27 × 2 = 54,
30/27 = 30 × 2/27 × 2 = 60/54 - Likewise, for the 2nd fraction, since 18 × 3 = 54,
75/18 = 75 × 3/18 × 3 = 225/54 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/54 < 225/54 or 30/27 < 75/18
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