Add 14/4 and 7/49, Solve 3 2/4 + 7/49 as a fraction

Add 14/4 and 7/49

1^st number: 3 2/4, 2^nd number: 7/49

14/4 + 7/49 is 51/14.

Find the least common denominator or LCM of the two denominators:
LCM of 4 and 49 is 196

Next, find the equivalent fraction of both fractional numbers with denominator 196
For the 1st fraction, since 4 × 49 = 196,
14/4 = 14 × 49/4 × 49 = 686/196
Likewise, for the 2nd fraction, since 49 × 4 = 196,
7/49 = 7 × 4/49 × 4 = 28/196
Add the two like fractions:
686/196 + 28/196 = 686 + 28/196 = 714/196
714/196 simplified gives 51/14
So, 14/4 + 7/49 = 51/14
In mixed form: 39/14

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