Express the following decimal in the form qp, where p, q are integers and q=0.0.2ˉ.

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Express the following decimal in the form {p}{q}, where p, q a

Question

Express the following decimal in the form $\frac{p}{q}$ , where p, q are integers and $q \neq = 0$ .
$0. \overset{ˉ}{2}$ .

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Mateo Discussed

Express the following decimal in the form

\frac{p}{q}

, where p, q are integers and

q \neq = 0

0. \overset{ˉ}{2}

15 mins ago

Discuss this question LIVE

15 mins ago

Take

x = 0. \overset{ˉ}{2}

Which means

x = 0.2222

consider it as equation

(1)

Then

10 x = 2.2222

consider it as equation

(2)

By subtracting equation

(1)

from

(2)

9 x = 2

x = \frac{2}{9}

By substituting the value of

x

we get

0. \overset{ˉ}{2} = \frac{2}{9}

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Question Text	Express the following decimal in the form $\frac{p}{q}$ , where p, q are integers and $q \neq = 0$ . $0. \overset{ˉ}{2}$ .
Answer Type	Text solution:1
Upvotes	150