Question

Express the following in the form of p /q. 1.3bar

Answer 1

Answer: Here is your answer!

Let x= 1.3 bar     (1st equation)

Multiply both sides by 10

10x= 3.3 bar       (2nd equation)

Subtracting 1st equation from 2nd equation

10x-x= 3.3 bar- 1.3 bar

9x= 2

x=2/9

Answer 2

The required form is  $1.\bar{3}=\frac{4}{3}$

Step-by-step explanation:

Given : Number 1.3 bar.

To find : Express the following in the form of p/q ?

Solution :

Let $x=1.333...$  ......(1)

Multiply both side by 10,

$10x=13.333...$   ......(2)

Subtract (1) and (2),

$10x-x=(13.333...)-(1.333...)$

$9x=12$

$x=\frac{12}{9}$

$x=\frac{4}{3}$

Therefore, the required form is  $1.\bar{3}=\frac{4}{3}$

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