Question

Express the following in the form of p/q where pal and q are integers q is not equal to zero 5.3 bar​

Answer 1

$\huge\tt\red{Q}\tt\pink{U}\tt\blue{E}\tt\green{S}\tt\purple{T}\tt\orange{I}\tt\orange{O}\huge\tt\red{N}$

Express the following in the form of p/q where pal and q are integers q is not equal to zero 5.3 bar

$\huge\tt\red{❥}\tt\pink{A}\tt\blue{N}\tt\green{S}\tt\purple{W}\tt\orange{E}\tt\orange{R}\huge\tt\purple{᭄}$

To express 5.3bar into a form of p/q following the given circumstances,

\begin{gathered}let \: x = 5.333.... \\ = > x = 5.33... \: \: \: \: \: \: \: \: \: \: \: \: eqn \: 1 \\ = > 10x = 53.33... \: \: \: \: \: eqn2 \\ now \: subtracting \: eqn \: 1 \: from \: 2 \\ we \: get: \\ 10x - x = (53.33...) - (5.33...) \\ = > 9x = 48 \\ = > x = \frac{48}{9} = \frac{16}{3} \\ to \: check \: the \: answer \\ \frac{16}{3} = 5.33...\end{gathered}

letx=5.333....

=>x=5.33...eqn1

=>10x=53.33...eqn2

nowsubtractingeqn1from2

weget:

10x−x=(53.33...)−(5.33...)

=>9x=48

=>x=

9

48

=

3

16

tochecktheanswer

3

16

=5.33...

Hope it helps u

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