Question

convert the 0.729bar
decimals into p/q form​

Answer 1

Answer:

.

729

=

37

27

(

q

p

form)

Step-by-step explanation:

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

729

−−−(1)

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

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

729

−−−(2)

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

\implies 999x = 729⟹999x=729

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

Therefore,

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

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