Question

Express 0.555......in
in /q torm​

Answer 1

Answer:

$\frac{5}{9}$

Answer 2

Answer:

$therefore \: \frac{p}{q} \: \: form \: of \: 0.555..... \: is \: \frac{5}{9}$

Explanation:

$let \: 0.555..... \: be \: x \\ x = 0.555..... \\ multiplying \: with \: 10 \: on \: both \: sides \\ 10x = 5.55..... \\ 10x = 5 + 0.55..... \\ 10x = 5 + x \\ 10x - x = 5 \\ 9x = 5 \\ x = \frac{5}{9} \\ therefore \: \frac{p}{q} \: \: form \: of \: 0.555..... \: is \: \frac{5}{9}$

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