Add 36/14 and 16/9, Solve 2 8/14 + 1 7/9 as a fraction

Add 36/14 and 16/9

1^st number: 2 8/14, 2^nd number: 1 7/9

36/14 + 16/9 is 274/63.

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,
36/14 = 36 × 9/14 × 9 = 324/126
Likewise, for the 2nd fraction, since 9 × 14 = 126,
16/9 = 16 × 14/9 × 14 = 224/126
Add the two like fractions:
324/126 + 224/126 = 324 + 224/126 = 548/126
548/126 simplified gives 274/63
So, 36/14 + 16/9 = 274/63
In mixed form: 422/63

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