Add 30/14 and 14/3, Solve 2 2/14 + 4 2/3 as a fraction

Add 30/14 and 14/3

1^st number: 2 2/14, 2^nd number: 4 2/3

30/14 + 14/3 is 143/21.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 3 is 42

Next, find the equivalent fraction of both fractional numbers with denominator 42
For the 1st fraction, since 14 × 3 = 42,
30/14 = 30 × 3/14 × 3 = 90/42
Likewise, for the 2nd fraction, since 3 × 14 = 42,
14/3 = 14 × 14/3 × 14 = 196/42
Add the two like fractions:
90/42 + 196/42 = 90 + 196/42 = 286/42
286/42 simplified gives 143/21
So, 30/14 + 14/3 = 143/21
In mixed form: 617/21

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