What is 0.26418 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.26418 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 0.26418 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.

0.26418 as a fraction equals 26418/100000 or 13209/50000

Now let's break down the steps for converting 0.26418 into a fraction.

Step 1:

First, we express 0.26418 as a fraction by placing it over 1:
0.26418/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.26418 x 100000/1 x 100000
  =  
26418/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 26418 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 26418 are: 1 2 3 6 7 14 17 21 34 37 42 51 74 102 111 119 222 238 259 357 518 629 714 777 1258 1554 1887 3774 4403 8806 13209 26418
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 26418 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.
26418 ÷ 2/100000 ÷ 2
  =  
13209/50000


Great Work! We've just determined that 0.26418 as a fraction equals 26418/100000 or 13209/50000 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.

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 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 decimal?

A decimal is a number that includes a decimal point, representing a fraction of a whole. For example, 0.5 represents 1/2.

What is an exponent?

An exponent refers to the number of times a number (the base) is multiplied by itself. For example, 2³ means 2 × 2 × 2 = 8.

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 percentage as a fraction?

A percentage can be written as a fraction by placing it over 100 and simplifying. For example, 20% = 20/100 = 1/5.


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.

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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