Question

Show that 0.235 3and 5 had bar expressed in the form of p/q

Answer 1

Hii.....☺

Here is your answer.....☺

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♦ To express 0.2353535 ...... in p/q form.

➡. Let x = 0.2353535......

=> 10 x = 2.353535...... ---------------(1)

=> 1000x = 235.35353........ ------------(2)

On subtracting equation (1) from (2) we get,

=> 1000x - 10x = 235 - 2

=> 990x = 233

=> x = 233/990

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Hence, p/q form of 0.23535..... is 233/990.

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Hope this helps you....☺

Thanks....☺

Answer 2

Let x = 0.235 [bar on 3&5]

10 × x = 10 × 0.235 bar

10x = 2.35 bar

As there are 2 numbers under bar, multiply by 100 on both sides


100 × 10x = 100 × 2.35 bar

1000x = 235.35 bar


Subtract 10x from both sides,

1000x = 235.35 bar
-10x = -2.35 bar
_______________
990x = 233 [bar cancel]
_______________


x = 233/990

Then,

0.235 bar in p/q form is 233/990




I hope this will help you


-by ABHAY