Question

Add the following rational number
-5,-6/8,13/12

​

Answer 1

Answer:

-4.66666666667

I hope this is what you wanted:

Answer 2

Answer:

$\frac{13}{80}$

Step-by-step explanation:

The Given Series is:

  $-5,\frac{-6}{8} ,\frac{13}{12} ,...$

The Ratio between the 1st and the 2nd rational number is:

$-5$ : $\frac{-6}{8}$ = 20 : 3

Suppose,

     The 4th rational number is $x$

Then the equation we find:

   $\frac{13}{12}$ : $x$ = $20$ : $3$

Or, $\frac{\frac{13}{12} }{x} = \frac{20}{3}$

Or, $20x=\frac{39}{12}$

Or, $x= \frac{39}{12*20}$

Or, $x= \frac{13}{80}$

 ∴ $x=0.1625$   (Ans)

Well, The 4th Rational Number is $\frac{13}{80}$ or 0.1625.

Hope you have understood the process...

By- Md. Mominur Islam Mahim.