Compare 75/30 and 96/40
1st number: 2 15/30, 2nd number: 2 16/40
75/30 is greater than 96/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 40 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 30 × 4 = 120,
75/30 = 75 × 4/30 × 4 = 300/120 - Likewise, for the 2nd fraction, since 40 × 3 = 120,
96/40 = 96 × 3/40 × 3 = 288/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 300/120 > 288/120 or 75/30 > 96/40
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