Question

X is a decimal number. When it is converted to fraction, it becomes 25/4. What is X?​

Answer 1

Given : X is a decimal number.

When it is converted to fraction  it becomes 25/4.

To Find :  X

Solution:

When X is converted to fraction  it becomes 25/4.

=> X = 25/4

Now X is a decimal number

Hence need to convert 25/4 in decimal

X = (25/4)  

Multiply and Divide by 25

=> X = 25 * 25 / ( 4 * 25)

=> X = 625/ 100

=> X = 6.25

or Using Long division

    4  )  25.00    (  6.25

           24

         ____

            10

              8

          _____

             20

             20

            _____

               0

Hence X is 6.25

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Answer 2

Decimal value of x

Given:

A decimal number x which when converted to fraction becomes 25/4.

To Find:

Decimal value of x.

Solution:

In order to find the decimal value of x, we can find it by the following method.

$\frac {25}{4} \ * \ \frac{25}{25} \ = \ \frac{625}{100} \ = \ 6.25$

We can also find the decimal value of x by the long-division method.

$25 \ \div \ 4 \ = \ 4)\ \ 25 \ \ (\ 6.25 \\\\. \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 24 \\\\. \ \ \ \ \ \ \ \ \ \ \ \ ------ \\\\. \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1 \ 0 \\\\. \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 8 \\\\. \ \ \ \ \ \ \ \ \ \ \ \ \ \ ------ \\\\. \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2\ 0 \\\\. \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2\ 0 \\\\. \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ------$

$\\\\. \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0 \\\\. \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ------$

Final Answer:

The decimal value of x is 6.25

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