Compare 75/9 and 20/96
1st number: 8 3/9, 2nd number: 20/96
75/9 is greater than 20/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 96 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 9 × 32 = 288,
75/9 = 75 × 32/9 × 32 = 2400/288 - Likewise, for the 2nd fraction, since 96 × 3 = 288,
20/96 = 20 × 3/96 × 3 = 60/288 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2400/288 > 60/288 or 75/9 > 20/96
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