Add 30/14 and 56/9, Solve 2 2/14 + 6 2/9 as a fraction

Add 30/14 and 56/9

1^st number: 2 2/14, 2^nd number: 6 2/9

30/14 + 56/9 is 527/63.

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,
56/9 = 56 × 14/9 × 14 = 784/126
Add the two like fractions:
270/126 + 784/126 = 270 + 784/126 = 1054/126
1054/126 simplified gives 527/63
So, 30/14 + 56/9 = 527/63
In mixed form: 823/63

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