Question

Express 2.5757…. in the form of p/q where p and q are integers and q is not equal to zero.

Answer 1

Answer:

Let x = 2.5757.... ______(i)

So, 100x = 257.5757.... _______(ii)

Now, subtract (i) from (ii)

99x = 255

x = 255/99

Hence, x = 85/33 ______(Ans.)

I hope it will help you.

Answer 2

Step-by-step explanation:

let x=2.5757...... equation (1)

multiplied equation (1) by 100

100x=257.5757......equation(2)

substracting equation (1) from equation (2)

100x=257.5757.........

- x= (-)2.5757........

___________________

99x=255.00000

x=255/99

here it is in the form of p/q that is 255/99.