Compare 40/9 and 6/75
1st number: 4 4/9, 2nd number: 6/75
40/9 is greater than 6/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 75 is 225
Next, find the equivalent fraction of both fractional numbers with denominator 225 - For the 1st fraction, since 9 × 25 = 225,
40/9 = 40 × 25/9 × 25 = 1000/225 - Likewise, for the 2nd fraction, since 75 × 3 = 225,
6/75 = 6 × 3/75 × 3 = 18/225 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1000/225 > 18/225 or 40/9 > 6/75
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