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Express in the form of {p}{q}:0.{38}+1.{27}.

Question

Express in the form of $\frac{p}{q} : 0. \overline{38} + 1. \overline{27}$ .

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Oliver Discussed

Express in the form of

\frac{p}{q} : 0. \overline{38} + 1. \overline{27}

.

5 mins ago

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Text solutionVerified

Consider x as

0. \overline{38}

and y as

1. \overline{27}

Taking

x = 0. \overline{38}

x = 0.3838

........

(1)

100 x = 38.3838

.......

(2)

On subtraction we obtain

99 x = 38

On further calculation

x = \frac{38}{99}

Taking

y = 1. \overline{27}

y = 1.2727

........

(1)

100 y = 127.2727

...........

(2)

By subtracting

99 y = 126

On further calculation

y = \frac{126}{99}

0. \overline{38} + 1. \overline{27}

can be written as

x + y

Where

x + y

= \frac{38}{99} + \frac{126}{99}

By taking LCM

= \frac{38 + 126}{99}

So we get

0. \overline{38} + 1. \overline{27}

= \frac{164}{99}

.

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Question Text	Express in the form of $\frac{p}{q} : 0. \overline{38} + 1. \overline{27}$ .
Answer Type	Text solution:1
Upvotes	150