Add 40/9 and 84/49
1st number: 4 4/9, 2nd number: 1 35/49
40/9 + 84/49 is 388/63.
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,
40/9 = 40 × 49/9 × 49 = 1960/441 - Likewise, for the 2nd fraction, since 49 × 9 = 441,
84/49 = 84 × 9/49 × 9 = 756/441 - Add the two like fractions:
1960/441 + 756/441 = 1960 + 756/441 = 2716/441 - 2716/441 simplified gives 388/63
- So, 40/9 + 84/49 = 388/63
In mixed form: 610/63
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