Question 77

The reciprocal of the sum of the reciprocals of 8/7 and 5/6 is:

Solution

Sum of the reciprocals of 8/7 and 5/6

= $$\frac{7}{8} + \frac{6}{5}$$

= $$\frac{7(5)+6(8)}{40} = \frac{35+48}{40}$$

= $$\frac{83}{40}$$

=> Reciprocal of 83/40 = $$\frac{40}{83}$$

=> Ans - (D)


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