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What smallest fraction should be added to 323+6712+4936+5+71123\frac{2}{3}+6\frac{7}{12}+4\frac{9}{36}+5+7\frac{1}{12}332​+6127​+4369​+5+7121​​&n
Question

What smallest fraction should be added to 323+6712+4936+5+71123\frac{2}{3}+6\frac{7}{12}+4\frac{9}{36}+5+7\frac{1}{12}​ to make the sum a whole number?

A.

1312\frac{13}{12}​​

B.

512\frac{5}{12}​​

C.

1112\frac{11}{12}​​

D.

712\frac{7}{12}​​

Correct option is B

Given:
323+6712+4936+5+71123\frac{2}{3}+6\frac{7}{12}+4\frac{9}{36}+5+7\frac{1}{12}
Solution: 
Let x be added to make it whole number equal to 1.
323+6712+4936+5+71123\frac{2}{3}+6\frac{7}{12}+4\frac{9}{36}+5+7\frac{1}{12}\\ + x = 1​

113+7912+174+5+8512+x=1=>319121=x\frac{11}{3} + \frac{79}{12} + \frac{17}{4} + 5 + \frac{85}{12} + x = 1\\\Rightarrow \frac{319}{12} - 1 = x​​
26+7121=x\therefore 26+ \frac 7{12} - 1 = x\\

To make it whole x should be 512\frac 5{12}​​

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