Add 30/14 and 10/9, Solve 2 2/14 + 1 1/9 as a fraction

Add 30/14 and 10/9

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

30/14 + 10/9 is 205/63.

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,
10/9 = 10 × 14/9 × 14 = 140/126
Add the two like fractions:
270/126 + 140/126 = 270 + 140/126 = 410/126
410/126 simplified gives 205/63
So, 30/14 + 10/9 = 205/63
In mixed form: 316/63

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