Question

Express 0.35 (bar in 35) in the form of p/q where p and q are integers and q is not equal to 0.​

Answer 1

Answer:

let. y=0.3535...

multiply by 100

100y=35.353535..

100y=35 + 0.353535

100y=35 + y

99y= 35

y= 35/99

hence p/q form is 35/99

for doubt what's app 9467169711

Answer 2

Given:

A number 0.35 bar.

To find:

The p/q form of 0.35 bar.

Solution:

A number is called a rational number if it can be expressed in the form of p/q.

This means,

we need to convert the 0.35 bar or 0.353535... into a rational number.

So,

Let x = 0.353535... (i)

as two digits are being repeated after a decimal point, so, we multiply (i) by 100

So, we get

100x = 100 × (0.353535...)

100x = 35.3535... (ii)

On subtracting (ii) from (i), we get

100x - x = 35.3535... - 0.353535...

99x = 35.0000...

(as after decimal point all the numbers are same and hence, they are subtracted out)

x = 35/99

Also, from (i)

x = 0.353535...

Hence, 0.35 bar is expressed in the p/q form as 35/99.