five times the reciprocal of x added to x times the reciprocal of five
Answers
Answer:
Hope it helps....
Step-by-step explanation:
Given,
5 times the reciprocal of x is added to x times the reciprocal of 5.
To find,
The value of this addition.
Solution,
The value will be 25+x²/5x when 5 times the reciprocal of x is added to x times the reciprocal of 5.
We can easily solve this problem by following the given steps.
Now, we know that the reciprocal is the inverse of a given number such that the multiplication of the number and its reciprocal is 1. For example, the reciprocal of 10 will be 1/10.
Then,
The reciprocal of x will be 1/x and the reciprocal of 5 will be 1/5.
According to the question,
5×1/x + x×1/5
5/x + x/5
Taking the L.C.M. of x and 5 and adding the two fractions, we will get
(5 × 5) + (x × x)/5x
25 + x²/5x
Hence, the addition will be 25 + x²/5x.