Add 10/63 and 30/14, Solve 10/63 + 2 2/14 as a fraction

Add 10/63 and 30/14

1^st number: 10/63, 2^nd number: 2 2/14

10/63 + 30/14 is 145/63.

Find the least common denominator or LCM of the two denominators:
LCM of 63 and 14 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 63 × 2 = 126,
10/63 = 10 × 2/63 × 2 = 20/126
Likewise, for the 2nd fraction, since 14 × 9 = 126,
30/14 = 30 × 9/14 × 9 = 270/126
Add the two like fractions:
20/126 + 270/126 = 20 + 270/126 = 290/126
290/126 simplified gives 145/63
So, 10/63 + 30/14 = 145/63
In mixed form: 219/63

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