Question

Express 0.265 as a fraction in simplest form.​

Answer 1

Answer: Solution for how to convert 0.265 repeating as a fraction in simplest form

First, create an equation that represents the repeating decimal that you want to convert to a fraction

x = 0.265265....      (1)

There are 3 repeating decimals, multiply both sides of the equation by 103 = 1000 so that both equations have the same repeating digits to the right of the decimal point

1000x = 265.265265...      (2)

 

Subtract the equation (1) from equation (2)

1000x

x =

= 265.265265...

0.265265...

999x = 265

Solve for the x in the equation to determine the equivalent fraction.

x =  

265

999

 

Therefore, 265/999 is simplified fraction of 0.265 repeating.

Step-by-step explanation:

Answer 2

Answer:

the answer is

10/19