Add 35/14 and 16/9, Solve 2 7/14 + 1 7/9 as a fraction

Add 35/14 and 16/9

1^st number: 2 7/14, 2^nd number: 1 7/9

35/14 + 16/9 is 77/18.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 9 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 14 × 9 = 126,
35/14 = 35 × 9/14 × 9 = 315/126
Likewise, for the 2nd fraction, since 9 × 14 = 126,
16/9 = 16 × 14/9 × 14 = 224/126
Add the two like fractions:
315/126 + 224/126 = 315 + 224/126 = 539/126
539/126 simplified gives 77/18
So, 35/14 + 16/9 = 77/18
In mixed form: 45/18

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