Answer:
15 11/12
Step-by-step explanation:
[tex]3 \frac{1}{4} + 12 \frac{2}{3} = \frac{13}{4} + \frac{38}{3} \\ \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{39}{12} + \frac{152}{12} \\ \: \: \: \: \: \: \: \: \: \: \: \: = \frac{191}{12} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 15 \frac{11}{2} [/tex]
1) Transform 3 1/4 and 12 2/3 to improper fraction
[tex]3 \times \frac{1}{4} = \frac{3 \times 4 + 1}{4} = \frac{13}{4} [/tex]
[tex]12 \times \frac{2}{3} = \frac{12 \times 3 + 2}{3} = \frac{38}{3} [/tex]
2) Add 13/4 and 38/3 by finding it's common denominator
[tex] \frac{13}{4} + \frac{38}{3} = \frac{39}{12} + \frac{152}{12} = \frac{191}{12} [/tex]
3) Simplify or transform 191/12 into mixed number
[tex] \frac{191}{12} = 15 \frac{11}{12} [/tex]
