Compare 75/9 and 40/6
1st number: 8 3/9, 2nd number: 6 4/6
75/9 is greater than 40/6
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 6 is 18
Next, find the equivalent fraction of both fractional numbers with denominator 18 - For the 1st fraction, since 9 × 2 = 18,
75/9 = 75 × 2/9 × 2 = 150/18 - Likewise, for the 2nd fraction, since 6 × 3 = 18,
40/6 = 40 × 3/6 × 3 = 120/18 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/18 > 120/18 or 75/9 > 40/6
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