Question

kvhvf summer holiday homework maths solutionExpress 0.588 bar in the form of p by q

Answer 1

hiii!!!

here's Ur answer...

given :- 0.588588588...

let x be = 0.588588588... -------(1)

multiplying both sides by 1000 as 3 numbers are repeating.

1000 × x = 1000 × 0.588588588...

1000x = 588.588588588... -------(2)

subtract equation (1) from equation (2)

1000x - x = 588.588588588... - 0.588588588...

999x = 588

x = 588/999

x = 196/333

hence, p/q form of 0.588588588... is 196/333

hope this helps..!!

Answer 2

Hey user, here is your answer...
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Express 0.588588588... in the form of $\frac{p}{q}$

Let x be equal to 0.588588....

Then,

(Multiplying as many powers of 10 as there is in the decimal point of 0.588588...below the bar)

=> 1000 x = 588.588588....

=> 1000 x = 588 + 0.588588...

=> 1000 x = 588 + x

=> 999 x = 588

=> x = $\frac{588}{999}$

=> x = $\frac{196}{333}$

Therefore, 0.588588... in the form of $\frac{p}{q}$ is $\frac{196}{333}$.
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Hope it helps.
Thanks for the question.