Question

express following no into p/q form .(I) 0.745bar​

Answer 1

0.745bar

x= 0.745bar

x*100=0.745bar*100

100x=745.745bar

100x-x=745.745bar-0.745

99x=745

x=745/99

hope it will help you!

Answer 2

Given:

0.745bar​

To find:

The given number in p/q form

Solution:

0.745bar​ in p/q form is 745/999.

We can find the number by taking the given steps-

We know that the number under the bar is non-terminating/

The given number =0.745 bar

Let us assume that 0.745 bar is equal to x.

So, x=0.745 bar (1)

Now, to convert it into p/q form, we will multiply the given number by the multiple of 10 that contains as many zeroes as the repeating digits after the decimal in the number.

Multiplying the number by 1000, we get

1,000x=745.745 bar (2)

Subtracting equation (1) from (2),

1000x-x=745.745 bar -0.745 bar

999x=745

x=745/999

So, the number in p/q form becomes 745/999.

Therefore, 0.745bar​ in p/q form is 745/999.