Question

Decimal expansion 31/16

Answer 1

31/6=5.1666666666......

Answer 2

$\frac{31}{16}=1.9375=1\times 1+9\times \frac{1}{10}+3\times \frac{1}{100}+7\times \frac{1}{1000}+5\times \frac{1}{10000}$

Step-by-step explanation:

Given : Expression $\frac{31}{16}$

To find : The decimal expansion of the expression ?

Solution :

To find the decimal of the expression we divide 31 by 16,

16 | 31 | 1.9

     | 16 |

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

     |150|

     |144|

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

        6

It goes on until the remainder became zero.

So, $\dfrac{31}{16}=1.9375$

The decimal expansion is

$1.9375=1\times 1+9\times \frac{1}{10}+3\times \frac{1}{100}+7\times \frac{1}{1000}+5\times \frac{1}{10000}$

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