What is 0.125 as a fraction?

Hey there! Did you know that decimals and fractions are different ways to show parts of a whole? It's really cool to be able to change between them. Let's learn how to do this step by step, turning 0.125  into a fraction!

Answer: 0.125 as a fraction is 1/8

Straightforward Method: Convert 0.125 to Fraction

Step 1: 

Identify the place value of the last digit, which is 5 in this case. It's in the 3 place.

Step 2: 

Write down the decimal as a fraction with the decimal number as the numerator and a denominator that corresponds to the place value of the last digit. For 0.125:

Fraction = 125/1,000

Step 3:

Simplify the fraction, if necessary, by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by it.

For those rows where factor is 1 we don’t have the para below

In this case, both 125 and 1,000 can be divided by 125:

Fraction after simplification = 1/8

So, 0.125 as a fraction is 1/8.

To summarize the steps:

1. Identify the place value of the last digit.
2. Write down the decimal as a fraction with the decimal number as the numerator and the appropriate power of 10 as the denominator.
3. Simplify the fraction, if feasible, by finding the greatest common divisor and dividing both the numerator and denominator by it.
4. Remember, practice makes perfect! The more you work with these conversions, the more comfortable you'll become with the process.

Keep in mind!

Some decimals might not have a finite fraction representation (like the decimal expansion of π), while others might have repeating patterns (like 0.333... for 1/3). In those cases, the conversion process might involve more advanced techniques.

Remember, practice makes perfect! The more you work with these conversions, the more comfortable you'll become with the process.

Common Core Standards and Grade Levels

• Grade 7 - Number and Operations—Fractions (7.NS) and Standard 7.NS.A.2
• Standards for Mathematical Practice, particularly Standard MP4