Add 36/42 and 64/9, Solve 36/42 + 7 1/9 as a fraction

Add 36/42 and 64/9

1^st number: 36/42, 2^nd number: 7 1/9

36/42 + 64/9 is 502/63.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 9 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 42 × 3 = 126,
36/42 = 36 × 3/42 × 3 = 108/126
Likewise, for the 2nd fraction, since 9 × 14 = 126,
64/9 = 64 × 14/9 × 14 = 896/126
Add the two like fractions:
108/126 + 896/126 = 108 + 896/126 = 1004/126
1004/126 simplified gives 502/63
So, 36/42 + 64/9 = 502/63
In mixed form: 761/63

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