Add 20/9 and 36/14, Solve 2 2/9 + 2 8/14 as a fraction

Add 20/9 and 36/14

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

20/9 + 36/14 is 302/63.

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

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 9 × 14 = 126,
20/9 = 20 × 14/9 × 14 = 280/126
Likewise, for the 2nd fraction, since 14 × 9 = 126,
36/14 = 36 × 9/14 × 9 = 324/126
Add the two like fractions:
280/126 + 324/126 = 280 + 324/126 = 604/126
604/126 simplified gives 302/63
So, 20/9 + 36/14 = 302/63
In mixed form: 450/63

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