Add 4/9 and 35/14, Solve 4/9 + 2 7/14 as a fraction

Add 4/9 and 35/14

1^st number: 4/9, 2^nd number: 2 7/14

4/9 + 35/14 is 53/18.

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,
4/9 = 4 × 14/9 × 14 = 56/126
Likewise, for the 2nd fraction, since 14 × 9 = 126,
35/14 = 35 × 9/14 × 9 = 315/126
Add the two like fractions:
56/126 + 315/126 = 56 + 315/126 = 371/126
371/126 simplified gives 53/18
So, 4/9 + 35/14 = 53/18
In mixed form: 217/18

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