Compare 40/49 and 12/9
1st number: 40/49, 2nd number: 1 3/9
40/49 is smaller than 12/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 9 is 441
Next, find the equivalent fraction of both fractional numbers with denominator 441 - For the 1st fraction, since 49 × 9 = 441,
40/49 = 40 × 9/49 × 9 = 360/441 - Likewise, for the 2nd fraction, since 9 × 49 = 441,
12/9 = 12 × 49/9 × 49 = 588/441 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 360/441 < 588/441 or 40/49 < 12/9
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