Add 36/42 and 40/9, Solve 36/42 + 4 4/9 as a fraction

Add 36/42 and 40/9

1^st number: 36/42, 2^nd number: 4 4/9

36/42 + 40/9 is 334/63.

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,
40/9 = 40 × 14/9 × 14 = 560/126
Add the two like fractions:
108/126 + 560/126 = 108 + 560/126 = 668/126
668/126 simplified gives 334/63
So, 36/42 + 40/9 = 334/63
In mixed form: 519/63

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