Question

Question #b3afa

Answer 1

`color(red)(7/30)`

Explanation:

`x`= `color(blue)0.2333333...`

Then multiply both sides of the equation by `10` ( or any multiple of ten) so that the decimal can become a number more easily converted to a fraction.

`color(green)(10x = 2.333333...)`

Now subtract `color(red)x` from `color(blue)10x`

`color(green)(10x-x = 2.3333...- 0.23333...)`

You get:

`color(blue)9x`=`color(green)2.1`

To get rid of the decimal point, times each side by ten or a multiple of ten, to get the decimal point away:

`90x=21`

Then write `90x=21` as a fraction:

`x= 21/90`

Then simplify:

`x= 21/90=7/30`

So `0.23333...` written as a fraction is `7/30`.