Write the fraction equivalent. simplify if possible? 0.125

2 Answers
Mar 14, 2018

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

Mar 14, 2018

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