What would be the reciprocal of sum of reciprocals of 2 and 3?

– by
  • 1.2
  • 0.77
  • 0.47
  • 0.2

To understand the concept of reciprocal click here

Math Question for FPSC, PPSC click here

Solution

The correct answer is 1.2


To find the reciprocal of the sum of reciprocals of 2 and 3, we need to calculate the sum of their reciprocals first. The reciprocal of a number x is 1/x.
So, the reciprocal of 2 is 1/2, and the reciprocal of 3 is 1/3.
The sum of the reciprocals of 2 and 3 is:
1/2 + 1/3 = 3/6 + 2/6 = 5/6

Now, to find the reciprocal of 5/6, we take the reciprocal of 5/6, which is simply flipping the numerator and denominator:
Reciprocal of 5/6 = 6/5

Therefore, the reciprocal of the sum of the reciprocals of 2 and 3 is 6/5 = 1.2
Answer = 1.2