Question

express each of the following decimal in p/q form on 3.127 the 7 is bar in the number

Answer 1

Given that,

A number $3.12\bar{7}$.

To find,

Express in the form of p/q.

Solution,

Let $x=3.12\bar{7}$

or

$x=3.1277777.....$ ....(1)

Multiply both sides of equation (1) by 10 as follows :

$10x=31.277777.....$ ....(2)

Subtract equation (2) by (1) we get :

$10x-x=31.277777.....-3.1277777.....\\\\9x=28.15\\\\x=\dfrac{28.15}{9}\\\\\text{We can also write as:}\\\\x=\dfrac{2815}{900}\\\\x=\dfrac{563}{180}$

Hence, the p/q form of the given number is $\dfrac{563}{180}$

Answer 2

Answer:

Step-by-step explanation:

Given that,

A number.

To find,

Express in the form of p/q.

Solution,

Let  

or

....(1)

Multiply both sides of equation (1) by 10 as follows :

....(2)

Subtract equation (2) by (1) we get :

Hence, the p/q form of the given number is