Question

express the recurring decimal 0.777..... in p/q form..

Answer 1

Hello friends

____________________________


Let x = 0.777....... = 0.7

10x = 7.777... = 7.7

10x - x = 7.7 - 0.7

9x = 7


x = 7/9



Therefore, 0.777.... = 7/9

Are the p/q form.....


thanks...


:)

Answer 2

Given:

A recurring decimal=0.7 bar

To find:

The given decimal in p/q form

Solution:

The given decimal in the p/q form is 7/9.

We will equate the given decimal to X.

So, X=0.7 bar (1)

Now we will multiply this decimal by 10 to eliminate the recurring part of the given decimal.

On multiplying by 10, we get

10X=7.7 bar (2)

We will calculate the difference of (1) and (2) to get the value of X.

(2)-(1),

10X-X=7.7 bar-0.7 bar

9X=7

X=7/9

So, 7/9 is in the p/q form.

Thus, the given decimal in the p/q form is 7/9.