Add 8/63 and 63/16, Solve 8/63 + 3 15/16 as a fraction

Add 8/63 and 63/16

1^st number: 8/63, 2^nd number: 3 15/16

8/63 + 63/16 is 4097/1008.

Find the least common denominator or LCM of the two denominators:
LCM of 63 and 16 is 1008

Next, find the equivalent fraction of both fractional numbers with denominator 1008
For the 1st fraction, since 63 × 16 = 1008,
8/63 = 8 × 16/63 × 16 = 128/1008
Likewise, for the 2nd fraction, since 16 × 63 = 1008,
63/16 = 63 × 63/16 × 63 = 3969/1008
Add the two like fractions:
128/1008 + 3969/1008 = 128 + 3969/1008 = 4097/1008
So, 8/63 + 63/16 = 4097/1008
In mixed form: 465/1008

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