Compare 75/27 and 24/18
1st number: 2 21/27, 2nd number: 1 6/18
75/27 is greater than 24/18
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,
75/27 = 75 × 2/27 × 2 = 150/54 - Likewise, for the 2nd fraction, since 18 × 3 = 54,
24/18 = 24 × 3/18 × 3 = 72/54 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/54 > 72/54 or 75/27 > 24/18
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