Express the following rational numbers as decimals:$ -\frac{22}{13} $

Given:

The given rational number is $-\frac{22}{13}$.

To do:

We have to express the given rational number as a decimal.

Solution:

By long division method, we get,

13)22(1.6923076

     13

--------

      90

      78

--------

        120

        117

-----------

          30

          26

------------

            40

             39

-------------

              100

               91

---------------

                 90

                 78

-----------------

                  12

$-\frac{22}{13}=1.\overline{692307}$

$\Rightarrow -\frac{22}{13}=-1.\overline{692307}$

Therefore, $-\frac{22}{13}$ can be expressed as $ -1.\overline{692307}$.  

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Updated on: 10-Oct-2022

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