Question

Express 0.4777…. in the form p/q

Answer 1

${\large{\mathfrak{\red{\underline{Given :}}}}}$

Express 0.4777... in the form of p/q.

${\large{\mathfrak{\orange{\underline{Solution :}}}}}$

${\maltese{\underline{\bf{First,}}}}$

${\sf{Let \: x \: be \: 0.4777.}}$

${\sf{X = 0.477{\dashrightarrow}eqn.1}}$

${\maltese{\underline{\bf{Than,10x \: will \: be :}}}}$

${\sf{10x = 0.477 \times 10}}$

${\sf{10x = 4.777{\dashrightarrow}eqn.2}}$

${\maltese{\underline{\bf{Now,}}}}$

${\bf{Subtract \: eqn 1 \: from \: eqn 2.}}$

${\sf{10x - x = 4.777 - 0.477}}$

${\sf{9x = 4.3}}$

${\purple{\longrightarrow{\underline{\boxed{\bf{X = \frac{43}{90} }}}}}}$

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