Add 84/35 and 10/9, Solve 2 14/35 + 1 1/9 as a fraction

Add 84/35 and 10/9

1^st number: 2 14/35, 2^nd number: 1 1/9

84/35 + 10/9 is 158/45.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 9 is 315

Next, find the equivalent fraction of both fractional numbers with denominator 315
For the 1st fraction, since 35 × 9 = 315,
84/35 = 84 × 9/35 × 9 = 756/315
Likewise, for the 2nd fraction, since 9 × 35 = 315,
10/9 = 10 × 35/9 × 35 = 350/315
Add the two like fractions:
756/315 + 350/315 = 756 + 350/315 = 1106/315
1106/315 simplified gives 158/45
So, 84/35 + 10/9 = 158/45
In mixed form: 323/45

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