Add 8/3 and 45/63, Solve 2 2/3 + 45/63 as a fraction

Add 8/3 and 45/63

1^st number: 2 2/3, 2^nd number: 45/63

8/3 + 45/63 is 71/21.

Find the least common denominator or LCM of the two denominators:
LCM of 3 and 63 is 63

Next, find the equivalent fraction of both fractional numbers with denominator 63
For the 1st fraction, since 3 × 21 = 63,
8/3 = 8 × 21/3 × 21 = 168/63
Likewise, for the 2nd fraction, since 63 × 1 = 63,
45/63 = 45 × 1/63 × 1 = 45/63
Add the two like fractions:
168/63 + 45/63 = 168 + 45/63 = 213/63
213/63 simplified gives 71/21
So, 8/3 + 45/63 = 71/21
In mixed form: 38/21

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