What is 0.26718 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.26718 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 0.26718 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.

0.26718 as a fraction equals 26718/100000 or 13359/50000

Now let's break down the steps for converting 0.26718 into a fraction.

Step 1:

First, we express 0.26718 as a fraction by placing it over 1:
0.26718/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.26718 x 100000/1 x 100000
  =  
26718/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 26718 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 26718 are: 1 2 3 6 61 73 122 146 183 219 366 438 4453 8906 13359 26718
The factors of 100000 are: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000
The GCF of 26718 and 100000 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.
26718 ÷ 2/100000 ÷ 2
  =  
13359/50000


Great Work! We've just determined that 0.26718 as a fraction equals 26718/100000 or 13359/50000 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.

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Yards, feet, and inches are all part of the Imperial measurement system, so a 1/4 of an inch is described as an imperial fraction.

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 are rational numbers?

A rational number is any number that can be expressed as the fraction of two integers, such as 3/4, -5/2, or 0.75.

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.

How do you convert a fraction to a decimal?

A fraction can be converted to a decimal by dividing the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75. Check out our fraction page for lots of examples on how to convert fractions into decimals.

What is a decimal as a percentage?

A decimal can be converted to a percentage by multiplying it by 100 and adding a percent sign. For example, 0.75 × 100 = 75%.


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 personalized 1-1 lessons check out Preply.com.

Math Planet has customized math courses for high school students.

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



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