Add 20/9 and 35/49
1st number: 2 2/9, 2nd number: 35/49
20/9 + 35/49 is 185/63.
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,
20/9 = 20 × 49/9 × 49 = 980/441 - Likewise, for the 2nd fraction, since 49 × 9 = 441,
35/49 = 35 × 9/49 × 9 = 315/441 - Add the two like fractions:
980/441 + 315/441 = 980 + 315/441 = 1295/441 - 1295/441 simplified gives 185/63
- So, 20/9 + 35/49 = 185/63
In mixed form: 259/63
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