Math, asked by manisha8527164862, 7 months ago

What is the value of 9.35 bar is on 5 what is it's value in p/q form

Answers

Answered by Anonymous
1

Answer:

simplify it

Step-by-step explanation:

mark brainliest

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Answered by pulakmath007
32

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QUESTION :

We have to put

 \displaystyle \: 9.3 \overline5

in  \displaystyle \frac{p}{q} form where p & q are integers with

 \displaystyle \: q \neq \: 0

CALCULATION :

Let  \displaystyle \: x = 9.3 \overline5

 \implies \:  \displaystyle \:x =  9.35555555......... \:  \:  \:  \: (1)

Multiplying both sides by 10 we get

 \implies \:  \displaystyle \:10x =  93.5555555......... \:  \:  \:  \: (2)

Multiplying both sides by 10 we get

 \displaystyle \: 100x = 935.5555555........ \:  \:  \:  \:  \: (3)

Now (3) - (2) gives

 \implies \:  \displaystyle \:90x =  935 - 93

 \implies \:  \displaystyle \:90x =  842

 \implies \:  \displaystyle \:x =   \frac{842}{90}

 \therefore \:  \displaystyle \:x =   \frac{421}{45}

Hence

  \displaystyle \:9.3 \overline5 =  \frac{421}{45}

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