What is 0.125 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.125 into a fraction. We will start by understanding how a decimal represents the fractional part of a number, then break down the steps to rewrite 0.125 as a fraction. Finally, we will simplify the fraction by identifying and applying the Greatest Common Factor, ensuring the results are in the simplest form.

By the end of this guide, you should have a good understanding of decimal to fraction conversions and be able to apply this knowledge to various mathematical problems. Let's begin.

0.125 as a fraction equals 125/1000 or 1/8

Now let's break down the steps for converting 0.125 into a fraction.

Step 1:

First, we express 0.125 as a fraction by placing it over 1:
0.125/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.125 x 1000/1 x 1000
  =  
125/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 125 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 125 are: 1 5 25 125
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 125 and 1000 is: 125

Step 4:

To simplify the fraction, we divide both the numerator and denominator by their greatest common factor (GCF), which we calculated in the previous step. The GCF value is 125 in this case.
125 ÷ 125/1000 ÷ 125
  =  
1/8


Great Work! We've just determined that 0.125 as a fraction equals 125/1000 or 1/8 in its simplest form.

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Frequently asked math questions, including decimals and fractions

Read the following section to help deepen your understanding of basic math concepts.

What is an absolute value?

The absolute value of a number is its distance from zero. For example, the absolute value of -20 is 20.

What is a median?

The median is the mid value in a set of numbers when the numbers are arranged in order. If there are two middle numbers, the median is the average of those both those numbers.

What is a repeating decimal?

A repeating decimal is a decimal in which a digit or group of digits repeats infinitely. For example, 0.3333... (where 3 repeats forever) and 0.142857142857... (where 142857 repeats) are repeating decimals.

How do you convert a decimal to a fraction?

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 10, 100, or 1000 depending on the decimal places, then simplify. For example, 0.75 = 75/100 = 3/4 Reference our decimal to fraction converter page for a detailed breakdown..

What is a decimal place?

A decimal place refers to the position of a digit to the right of the decimal point. For example, in 3.141, the digit 1 is in the thousandths place.

What is a fraction bar?

A fraction bar is the horizontal line that separates the numerator and denominator in a fraction. It also represents division. For example, in 2/4, the fraction bar means 2 divided by 4.


Educational math links

There are numerous online resources available (some free and some paid) for learning math including decimals and fractions. These range from interactive games to in-depth courses and lessons. We recommend these websites as a valuable resource for students of all skill levels.

Use Study.com for an entertaining video lesson approach.

For personalized 1-1 lessons check out Preply.com.

For fun game based learning try Prodigy Math.



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