Add 27/2 and 14/49, Solve 13 1/2 + 14/49 as a fraction

Add 27/2 and 14/49

1^st number: 13 1/2, 2^nd number: 14/49

27/2 + 14/49 is 193/14.

Find the least common denominator or LCM of the two denominators:
LCM of 2 and 49 is 98

Next, find the equivalent fraction of both fractional numbers with denominator 98
For the 1st fraction, since 2 × 49 = 98,
27/2 = 27 × 49/2 × 49 = 1323/98
Likewise, for the 2nd fraction, since 49 × 2 = 98,
14/49 = 14 × 2/49 × 2 = 28/98
Add the two like fractions:
1323/98 + 28/98 = 1323 + 28/98 = 1351/98
1351/98 simplified gives 193/14
So, 27/2 + 14/49 = 193/14
In mixed form: 1311/14

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