Math, asked by Anonymous, 9 months ago

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Answered by Anonymous
2

Step-by-step explanation:

a] Given number: 0.37

To find. Express in the form where both and are integers with

Solution.

Let 0.37 be x

In order to get a whole number on the right hand side, we multiply 100 to both sides:

100x-x= 37.373737 - 0.373737

99x=37

x= 37 upon 99

0.37=

 \frac{37}{99}

This is in the required form where p=37 and q=99....

b] 3.171717 is in an irrataional form, we will have to convert it into rational to get it into p/q form.

3.171717 has the recurring decimal in 2 points.

So, let us take this number as x

Then, lets multiply the number with 100 as it has two decimal recurring points.

Then,

x = 3.1717

x = 3.1717100x = 317.17

x = 3.1717100x = 317.17100x = 317.17

x = 3.1717100x = 317.17100x = 317.17x = 3.1717

Let's subtract both the equations.

99x = 314

99x = 314x = 314 / 99

p/q form of 3.1717171717 is 314/99

c] 15.89×100/100=1589/100

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Answered by atulverma4472
1

Step-by-step explanation:

let x=0.37373737..…...(a)

multiply both sides with 100

then,

100 x= 37.37373737......( b)

subtract (a) from (b)

then

100 x - x = 37.373737....-(0.373737......)

99x= 37

x= 37/99

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