Add 10/14 and 64/3, Solve 10/14 + 21 1/3 as a fraction

Add 10/14 and 64/3

1^st number: 10/14, 2^nd number: 21 1/3

10/14 + 64/3 is 463/21.

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,
10/14 = 10 × 3/14 × 3 = 30/42
Likewise, for the 2nd fraction, since 3 × 14 = 42,
64/3 = 64 × 14/3 × 14 = 896/42
Add the two like fractions:
30/42 + 896/42 = 30 + 896/42 = 926/42
926/42 simplified gives 463/21
So, 10/14 + 64/3 = 463/21
In mixed form: 221/21

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