Add 8/3 and 63/49, Solve 2 2/3 + 1 14/49 as a fraction

Add 8/3 and 63/49

1^st number: 2 2/3, 2^nd number: 1 14/49

8/3 + 63/49 is 83/21.

Find the least common denominator or LCM of the two denominators:
LCM of 3 and 49 is 147

Next, find the equivalent fraction of both fractional numbers with denominator 147
For the 1st fraction, since 3 × 49 = 147,
8/3 = 8 × 49/3 × 49 = 392/147
Likewise, for the 2nd fraction, since 49 × 3 = 147,
63/49 = 63 × 3/49 × 3 = 189/147
Add the two like fractions:
392/147 + 189/147 = 392 + 189/147 = 581/147
581/147 simplified gives 83/21
So, 8/3 + 63/49 = 83/21
In mixed form: 320/21

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