Add 14/9 and 35/49
1st number: 1 5/9, 2nd number: 35/49
14/9 + 35/49 is 143/63.
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,
14/9 = 14 × 49/9 × 49 = 686/441 - Likewise, for the 2nd fraction, since 49 × 9 = 441,
35/49 = 35 × 9/49 × 9 = 315/441 - Add the two like fractions:
686/441 + 315/441 = 686 + 315/441 = 1001/441 - 1001/441 simplified gives 143/63
- So, 14/9 + 35/49 = 143/63
In mixed form: 217/63
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