Compare 40/75 and 16/9
1st number: 40/75, 2nd number: 1 7/9
40/75 is smaller than 16/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 9 is 225
Next, find the equivalent fraction of both fractional numbers with denominator 225 - For the 1st fraction, since 75 × 3 = 225,
40/75 = 40 × 3/75 × 3 = 120/225 - Likewise, for the 2nd fraction, since 9 × 25 = 225,
16/9 = 16 × 25/9 × 25 = 400/225 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/225 < 400/225 or 40/75 < 16/9
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