Question

Write the fraction equivalent. simplify if possible? 0.125

Answer 1

See a solution process below:

Explanation:

`0.125` or 125 thousandths can be written as:

`125/1000`

We can reduce this as:

`(125 xx 1)/(125 xx 8) => (color(red)(cancel(color(black)(125))) xx 1)/(color(red)(cancel(color(black)(125))) xx 8) => 1/8`

Answer 2

`1/8`

Explanation:

There are multiple ways to solve this problem. I will show you two of these methods. These methods will not always work but for numbers such as these, it should usually work!

Method 1

`.125/1 = 1/x`

Multiply both sides by `x`

`.125x = 1`

Divide both sides by `.125`

`1/.125 = x`

From here, you can either put the equation `1/.125` into your calculator or use long division to solve.

`1/.125 = x = 8`

Now, we go back to our original equation of `.125 = 1/x`

Plug in `x`

`.125 = 1/8`

Method 2

Using the equation `.125/1 = 1/x`, double both sides until you reach a number that you know the fractional value of.

`2*.125/1 = 2*1/x`

`.250/1 = 2/x`

`2*.250/1 = 2*2/x`

`.500/1 = 4/x`

`2*.500/1 = 2*4/x`

`1 = 8/x`

This should be easily recognizable

Multiply both sides by `x`

`x = 8`

Plug this into your original equation

`.125/1 = 1/x`

`.125/1 = 1/8`