What is 0.26 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.26 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 0.26 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.

0.26 as a fraction equals 26/100 or 13/50

Now let's break down the steps for converting 0.26 into a fraction.

Step 1:

First, we express 0.26 as a fraction by placing it over 1:
0.26/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.26 x 100/1 x 100
  =  
26/100

Step 3:

Next, we find the Greatest Common Factor (GCF) for 26 and 100. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 26 are: 1 2 13 26
The factors of 100 are: 1 2 4 5 10 20 25 50 100
The GCF of 26 and 100 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.
26 ÷ 2/100 ÷ 2
  =  
13/50


Great Work! We've just determined that 0.26 as a fraction equals 26/100 or 13/50 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 are mixed numbers?

A mixed number is made up of a whole number and a proper fraction.

What are improper fractions?

Improper fractions are fractions where the numerator (the top number) is greater than or equal to the denominator (the bottom number). Example 3/2

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 a ratio?

A ratio is a relationship between two numbers that shows how many times one value is contained within another. For example, the ratio 3:1 means there are 3 parts of one quantity for every 1 part of another.

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.


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 a structured learning approach with video lessons try the Khan Academy.

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

For a self-study courses for Algebra. We recommend Purple Math.



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