Question

Epress 1.4 bar as a fraction in simplest form

Answer 1

Answer:

13/9

Step-by-step explanation:

1.4 bar = x .....(1)

14.4 bar = 10x ....(2)

10x-x = 14.4 - 1.4 {from 1&2}

9x = 13

x =13/9

Answer 2

${\sf\red{\underline{ \: Answer: \: }}}$

Let x = $\sf{ 1. \overline{4} }$

Then, x = 1.444 .... (1)

Since,

The repeating block has only digit 4 , we Multiply x by 10 to get;

10x = 14.444 .....(2)

Subtracting ( 1 ) From (2), we get;

9x = 13

$\implies{\sf{ x = \dfrac{13}{9} }} \\ \\ \implies{\sf{ x = 1 \dfrac{4}{9} }}$

Hence,

${\sf{ 1. \overline{4} = 1 \dfrac{4}{9} }}$.