Question

What is decimal expanstion of 31/16

Answer 1

Step-by-step explanation:

\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}

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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Answer 2

Answer: 1.9375

Step-by-step explanation:

$\frac{31}{16}=\frac{31}{2^4}=\frac{31}{2^4}\times1=\frac{31}{2^4}\times\frac{5^4}{5^4}\\\\=\frac{31\times5^4}{2^4\times5^4}=\frac{31\times625}{(2\times5)^4}\\\\=\frac{19375}{10^4}=\frac{19375}{10000}=1.9375\\\\\\Learning\;\;together\;:)$