Math, asked by kangappan1606, 8 months ago

Express 0.43 bar on 43 in the form of p/q

Answers

Answered by Rishi3234
46

Hi mate ✌️✌️✌️✌️

Here is ur answer

0.43 bar on 43

Now,

Let x=0.43434343.......... - - - > equation 1

So, as the periodicity is 2, we r going to multiply both the sides with 100.

100x=43.434343.......... - - - - - > equation 2

Subtract equation 1 and 2

100x = 43.434343........

(-) x = 0. 434343.........

-----------------------------------------

99x = 43.00000......

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99x=43

x=43/99

So 0.43, bar on 43 in p/q form is 43/99.

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Answered by smithasijotsl
6

Answer:

The fractional form of 0.434343....... = \frac{43}{99}

Step-by-step explanation:

Given decimal number = 0.434343....

Required to convert the given decimal number into a faction in the form \frac{p}{q}

Solution:

Let x = 0.434343....... ---------------(1)

Since the number of repeating decimals are '2', multiply both sides of the equation by 100 we get,

100x = 43.434343..........-------------(2)

Subtracting (1) from (2) we get,

(2) - (1) → 100x - x = 43.434343....- 0.434343......

99x = 43

x = \frac{43}{99}

0.434343...... = \frac{43}{99}

The fractional form of 0.434343...... = \frac{43}{99}

#SPJ2

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