Question

express 0.2545454. .. as a fraction in simplest form.​

Answer 1

given that 0.2545454.

now. 2545454/10000000.

Answer 2

Given number

0.2545454..

Or 0.2 54bar

Let the given number be x.

0.2 54bar = x

Multiplying 10 on both side, we get

2.54bar = 10x---------------1

Multiply 1000 on both side, than we get,

254.5454... = 1000x--------------2

Subtracting equation 1 from equ 2

Than we get,

254.545454... - 2.545454... = 1000x - 10x

252 = 990x

252/990 = x

7/25 = x

Therefore, our answer as a fraction in simplest form is

7/25