Question

Express 0.825(bar is on 25) in p/q form

Answer 1

Your answer is 817/990

Step by step explanation :

Given rational number :

0.82525252.........(Since bar is on 25)

Let us take 0.8252525... = x

Since two digits, 2 and 5 are repeating,

Multiply x by 100 which contains 2 zeros :

$x \times 100 = 0.8252525.. \times 100$

$100x = 82.525252....$

This can also be written as :

$100x = 81.7 + 0.825252...$

We know that,

0.8252525... = X

Hence :

$100x = 81.7 + x$

$100x - x = 81.7$

$99x = 81.7$

$x = \frac{81.7}{99}$

To remove the decimal, multiply by 10 to both

numerator and denominator :

$x = \frac{81.7 \times 10}{99 \times 10}$

$x = \frac{817}{990}$

Here you got x = 0.82525...in the form of p/q which is :

$\frac{817}{990}$

Hope it is clear :-)

Answer 2

Answer:

817/990

Answer is right or wrong