Aplications of Rational Expressions

Question

The difference of the reciprocal of a number and 5/9 is -41/90. Find the number.

Answer 1

Here is a solution using algebra:

 

Let x = the number

 

Then 1/x - 5/9 = -41/90

 

Multiply the equation by the LCD, 90x:

 

90 - 50x = -41x

 

       90 = 9x

 

        x = 10

 

 

Answer 2

We can calculate the answer using mental math or vedic math shortcut.

 

The answer is 10.

 

The reciprocal of 10 is (1/10) and subtract (5/9) we get -41/90

 

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