Question

Express 0.1254 bar on 54 in the form P by q​

Answer 1

$\textbf{Given:}$

$\mathsf{0.12\overline{54}}$

$\textbf{To find:}$

$\mathsf{\dfrac{p}{q}\;form\;of\;0.12\overline{54}}$

$\textbf{Solution:}$

$\textsf{Consider,}$

$\mathsf{Let\;x=0.12\overline{54}}$

$\mathsf{x=0.1254545454\;.\;.\;.\;.\;.}$

$\implies\mathsf{10000x=1254.545454\;.\;.\;.\;.\;.}$--------(1)

$\implies\mathsf{100x=12.545454\;.\;.\;.\;.\;.}$-------(2)

$\mathsf{(1)-(2)\implies}$

$\mathsf{9900x=1242}$

$\mathsf{x=\dfrac{1242}{9900}}$

$\mathsf{x=\dfrac{621}{4950}}$

$\mathsf{x=\dfrac{207}{1650}}$

$\mathsf{x=\dfrac{69}{550}}$

$\implies\boxed{\mathsf{0.12\overline{54}=\dfrac{69}{550}}}$

$\textbf{Find more:}$

Express 0.432323 in the form p/q, where p and q are integers and q not equal to 0

​https://brainly.in/question/38619483

Express the following in p/q form 0.19 bar​

https://brainly.in/question/38397623

Answer 2

Step-by-step explanation:

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