Decimals

__**Changing decimals to fractions**__
by: Morgan

To change a decimal to a fraction, you must find out what the last place value of your decimal is. You can then eliminate the decimal point and write that number as the numerator and the last place value as the denominator. You can then reduce your fraction if you choose to.

**Examples:**
math .3 = \frac{3}{10} math

math .41 = \frac{41}{100} math

Here's how to convert .125 to a fraction...

There is not much that can be done to figure out how to write .125 as a fraction, except to literally use what the decimal portion of your number, the .125, means. Since there are 3 digits in 125, the very last digit is the "1000th" decimal place. So we can just say that .125 is the same as 125/1000.

The fraction is not reduced to **lowest terms**. We can reduce this fraction to lowest terms by dividing both the numerator and denominator by 125. Why divide by 125? 125 is the **Greatest Common Divisor (GCD)** or **Greatest Common Factor (GCF)** of the numbers 125 and 1000. So, this fraction reduced to lowest terms is

So your final answer is: .125 can be written as the fraction

edited by: Mr. Rochester