Question

How do you write $0.125$ as a fraction?

Answer 1

Hint:
First take the value, and write a $1$ as the denominator to make it a fraction. If values have $1$ value after decimal then multiply by $10$, if $2$ then multiply by $100$ and so on. After that divide by GCD.

Complete Step by Step Solution:
First take $0.125$ , and write a $1$ as the denominator to make it a fraction ,
$ \Rightarrow \dfrac{{0.125}}{1}$
To get rid of the decimal point in the numerator, we count the numbers after the decimal in $2.5$
If it is $1$ number then multiply the numerator and denominator by $10$
If it is $2$ number then multiply the numerator and denominator by $100$
If it is $3$ number then multiply the numerator and denominator by $1000$
Here it is $3$ number, so,
Now, multiply the numerator and denominator by $1000$
$ \Rightarrow \dfrac{{125}}{{1000}}$
Then, we need to divide the numerator and denominator by the greatest common divisor (GCD)
To simplify the fraction.
The GCD of $125$ and $1000$ is $125$.
When we divide the numerator and denominator by $125$ , we get the following:
$\dfrac{1}{8}$

Therefore,$0.125$ as a fraction is as follows:
$\dfrac{1}{8}$

Note:
Alternative method
$0.125 = \dfrac{{125}}{{1000}}$
Both numerator and denominator simplify to small number by divide the LCD of both numbers which is $125$
The most simple fraction will be $\dfrac{1}{8}$