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What is the sum of 13,43and34?\frac{1}{3}, \frac{4}{3}and \frac{3}{4} ?31​,34​and43​?​​
Question

What is the sum of 13,43and34?\frac{1}{3}, \frac{4}{3}and \frac{3}{4} ?​​

A.

22​​

B.

2912\frac{29}{12}​​

C.

2712\frac{27}{12}​​

D.

2612\frac{26}{12}​​

Correct option is B

Given:

13,43,34\frac{1}{3}, \frac{4}{3}, \frac{3}{4}​​​​

Solution:
LCM of 3,3,4=12:3, 3, 4 = 12: 

Now, 

13=412,43=1612,34=912\frac{1}{3} = \frac{4}{12}, \quad \frac{4}{3} = \frac{16}{12}, \quad \frac{3}{4} = \frac{9}{12} 

Then 

Sum=4+16+912=2912\text{Sum} = \frac{4 + 16 + 9}{12} = \frac{29}{12} ​​

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