Compare 75/24 and 30/9
1st number: 3 3/24, 2nd number: 3 3/9
75/24 is smaller than 30/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 9 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 24 × 3 = 72,
75/24 = 75 × 3/24 × 3 = 225/72 - Likewise, for the 2nd fraction, since 9 × 8 = 72,
30/9 = 30 × 8/9 × 8 = 240/72 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 225/72 < 240/72 or 75/24 < 30/9
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