Add 14/49 and 63/16, Solve 14/49 + 3 15/16 as a fraction

Add 14/49 and 63/16

1^st number: 14/49, 2^nd number: 3 15/16

14/49 + 63/16 is 473/112.

Find the least common denominator or LCM of the two denominators:
LCM of 49 and 16 is 784

Next, find the equivalent fraction of both fractional numbers with denominator 784
For the 1st fraction, since 49 × 16 = 784,
14/49 = 14 × 16/49 × 16 = 224/784
Likewise, for the 2nd fraction, since 16 × 49 = 784,
63/16 = 63 × 49/16 × 49 = 3087/784
Add the two like fractions:
224/784 + 3087/784 = 224 + 3087/784 = 3311/784
3311/784 simplified gives 473/112
So, 14/49 + 63/16 = 473/112
In mixed form: 425/112

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