Question

Express 0.729 bar in the rational form p/q

Answer 1

Hi friend,
Hope this helps you

Answer 2

Answer:

$0.\overline{729} = \frac{27}{37}\: (\frac{p}{q} \: form )$

Step-by-step explanation:

$Let \: x = 0.\overline{729}\: ---(1)$

\* Multiply both sides of by 1000 , we get *\

$1000x = 729.\overline {729}\: ---(2)$

/* Subtract equation (1) from equation (2) , we get*/

$\implies 999x = 729$

$\implies x = \frac{729}{999}\\=\frac{9\times 3\times 27}{9\times 3\times 37 }\\=\frac{27}{37}$

Therefore,

$x = 0.\overline{729} = \frac{27}{37}\: (\frac{p}{q} \: form )$

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