Question

write 0.32 bar in rational form ​

Answer 1

Answer:x=0.3232... - i

100x=32.3232... - ii

After subtracting eq i and ii

99x=32

X=32/99

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Step-by-step explanation:

Answer 2

Rational form  $\overline{0.32}$ is $\frac{32}{99}$

Step-by-step explanation:

Given data

Find the rational form of $\overline{0.32}$

The bar symbol represents number under the bar will come repeatedly

Which means $\overline{0.32}$ = 0.3232323232......

Let us consider $\overline{0.32}$ is equal to x

x = 0.3232 ------> (1)

Multiply by 100 on both sides of the equation

100 x = 32.32 ------> (2)

Subtract the equation (1) from (2)

100 x - x = 32.32 - 0.32

99 x = 32

Then  $x = \frac{32}{99}$

Therefore the rational form of  $\overline{0.32}$ is $\frac{32}{99}$

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