Express the following rational numbers as decimals:$ \frac{33}{26} $

Given:

The given rational number is $\frac{33}{26}$.

To do:

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

Solution:

By long division method, we get,

26)33(1.269230769

      26

--------

       70

       52

--------

        180

        156

-----------

          240

          234

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

            60

             52

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

              80

               78

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

                200

                182

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

                  180

                  156

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

                    240

                    236

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

                        4

$\frac{33}{26}=1.2\overline{692307}$

Therefore, $\frac{33}{26}$ can be expressed as $ 1.2\overline{692307}$.   

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Updated on: 10-Oct-2022

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