Question

Convert $\sf 0. \bar 2 \bar 5$ into Rational Number.

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Answer 1

Answer:

NOW, LET X BE THE RATIONAL NUMBER,

X=0.25BAR

100X = 25.25BAR

NOW,

AFTER SUBTRACTING FIRST EQUATION TO SECOND WE WILL GET,

99X=25

X=25\99

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Answer 2

Answer:

25/99

Step-by-step explanation:

$\sf 0. \bar{25}$ can be written as 0.252525...

To convert it into the form of p/q, let it be equal to a variable x.

Then, x = 0.2525.... - eqn.1

Multiplying both sides by 100, we have

100x = 25.2525.... - eqn.2

Subtracting eqn. 1 from eqn. 2, we get

100x - x = 25.2525... - 0.2525...

Or, 99x = 25

This means that x = 25/99.

Thus, 25/99 is the answer.