Add 49/4 and 15/27, Solve 12 1/4 + 15/27 as a fraction

Add 49/4 and 15/27

1^st number: 12 1/4, 2^nd number: 15/27

49/4 + 15/27 is 461/36.

Find the least common denominator or LCM of the two denominators:
LCM of 4 and 27 is 108

Next, find the equivalent fraction of both fractional numbers with denominator 108
For the 1st fraction, since 4 × 27 = 108,
49/4 = 49 × 27/4 × 27 = 1323/108
Likewise, for the 2nd fraction, since 27 × 4 = 108,
15/27 = 15 × 4/27 × 4 = 60/108
Add the two like fractions:
1323/108 + 60/108 = 1323 + 60/108 = 1383/108
1383/108 simplified gives 461/36
So, 49/4 + 15/27 = 461/36
In mixed form: 1229/36

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