Add 12/9 and 40/49
1st number: 1 3/9, 2nd number: 40/49
12/9 + 40/49 is 316/147.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 49 is 441
Next, find the equivalent fraction of both fractional numbers with denominator 441 - For the 1st fraction, since 9 × 49 = 441,
12/9 = 12 × 49/9 × 49 = 588/441 - Likewise, for the 2nd fraction, since 49 × 9 = 441,
40/49 = 40 × 9/49 × 9 = 360/441 - Add the two like fractions:
588/441 + 360/441 = 588 + 360/441 = 948/441 - 948/441 simplified gives 316/147
- So, 12/9 + 40/49 = 316/147
In mixed form: 222/147
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