What is 0.266 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.266 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 0.266 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.

0.266 as a fraction equals 266/1000 or 133/500

Now let's break down the steps for converting 0.266 into a fraction.

Step 1:

First, we express 0.266 as a fraction by placing it over 1:
0.266/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.266 x 1000/1 x 1000
  =  
266/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 266 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 266 are: 1 2 7 14 19 38 133 266
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 266 and 1000 is: 2

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 2 in this case.
266 ÷ 2/1000 ÷ 2
  =  
133/500


Great Work! We've just determined that 0.266 as a fraction equals 266/1000 or 133/500 in its simplest form.

Convert any decimal to a fraction

Discover how different decimal numbers can be expressed as fractions.

Enter any decimal value:



Frequently asked math questions, including decimals and fractions

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

What are proper fractions?

Proper fractions are fractions where the numerator (the top number) is less than the denominator (the bottom number). Example 2/3

What does the Greatest Common Factor (GCF) mean?

The greatest common factor is also referred to as the highest common factor. In math, this refers to the greatest common divisor of two or more whole numbers (also known as integers). In simple terms, this is the biggest number that can divide evenly into two or more numbers. For example, the GCF for 4 and 8 is 4.

Why is there a need to convert decimals to fractions anyway?

The U.S. is one of a few countries worldwide that still uses the Imperial system of measurement, which is a fractional measurement system, where items are measured in feet, inches, pounds, ounces, yards, and so on. The majority of the rest of the world uses the metric system, which is a decimal measurement system, where items are measured in cm, meters, grams, kilos, and so on.

What are prime numbers?

Prime numbers are numbers greater than 1 that have only two factors: 1 and themselves. Examples include 2, 3, 5, 7, 11, 13, 17 and so on.

What is the Least Common Multiple (LCM)?

The Least Common Multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the given numbers. For example, the LCM of 4 and 6 is 12.

What is a proportion?

A proportion is an equation that states that two ratios are equal. For example, 1/2 = 2/4 shows a proportional relationship.


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.

For fun game based learning try Prodigy Math.

Desmos.com has a focus on equation, functions and visual graphs.

The Fusion Academy provides one on one math lessons. Yes, one teach to one student for both middle and high school students.



© www.asafraction.net