Add 30/14 and 36/9, Solve 2 2/14 + 4 0/9 as a fraction

Add 30/14 and 36/9

1^st number: 2 2/14, 2^nd number: 4 0/9

30/14 + 36/9 is 43/7.

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,
30/14 = 30 × 9/14 × 9 = 270/126
Likewise, for the 2nd fraction, since 9 × 14 = 126,
36/9 = 36 × 14/9 × 14 = 504/126
Add the two like fractions:
270/126 + 504/126 = 270 + 504/126 = 774/126
774/126 simplified gives 43/7
So, 30/14 + 36/9 = 43/7
In mixed form: 61/7

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