Question

The simplest form of 1.6 bar is

Answer 1

The simplest form is $1.\bar6=\frac{5}{3}$ .

Step-by-step explanation:

Given : Expression $1.\bar6$

To find : The simplest form of expression ?

Solution :

Let $x=1.666..$ ....(1)

Multiply both side by 10,

$10x=16.666...$ .....(2)

Subtract (1) and (2),

$10x-x=(16.666...)-(1.666...)$

$9x=15$

$x=\frac{15}{9}$

$x=\frac{5}{3}$

The simplest form is $1.\bar6=\frac{5}{3}$ .

#Learn more  

Express 3.42 (bar on 42) in p/q form.

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