Question

Rewrite the rational number as a fraction in simplest form 0.5 and there is a line above the 5

Answer 1

$\huge\mathtt\red{Answer}$

$\boxed{x\:=\frac{5}{9}}$

$\huge\mathtt\red{To\:find}$

$\mathtt{0.5\:bar\:in\:fraction\:in\:simplest\:form}$

$\huge\mathtt\red{Solution}$

$\mathtt{0.555......}$

$\mathtt\pink{Let\:x\:be\:0.5 bar..............(1)}$

$\mathtt\orange{Multiplying\:eq(1)\:by\:10,\:we\:get}$

$\mathtt\pink{→10x\:=\:5.5\:bar.................(2)}$

$\mathtt\orange{Subtracting\:(1)\:fron\:(2)}$

$\mathtt\pink{→9x\:=\:5}$

$\mathtt\pink{→x\:=\frac{5}{9}}$

Answer 2

Answer:

$listen \: that \\ 0.5 = \frac{5}{10} = \frac{1}{2} \: \: \: \: \: but \\ 0.5555... = \frac{5}{9}$