Question

Express 2.1363636...... the form p/q in the simplest form.

Answer 1

2115/990        you can symplify and get 2.1363636............

Answer 2

Answer:

The simplest form is $2.1363636......=\frac{47}{22}$  

Step-by-step explanation:

Given : Number 2.1363636......

To find : Express number in the form p/q in the simplest form.

Solution :

Let $x=2.1363636....$ ......(1)

Multiply both side by 100,

$100x=213.63636....$ .......(2)

Subtract equation (1) and (2),

$100x-x=(213.63636....)-(2.1363636....)$

$99x=211.5$

$x=\frac{211.5}{99}$

$x=\frac{2115}{990}$

$x=\frac{235}{110}$

$x=\frac{47}{22}$

Therefore, The simplest form is $2.1363636......=\frac{47}{22}$