Compare 40/18 and 75/24
1st number: 2 4/18, 2nd number: 3 3/24
40/18 is smaller than 75/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 24 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 18 × 4 = 72,
40/18 = 40 × 4/18 × 4 = 160/72 - Likewise, for the 2nd fraction, since 24 × 3 = 72,
75/24 = 75 × 3/24 × 3 = 225/72 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/72 < 225/72 or 40/18 < 75/24
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