What is 0.29484 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.29484 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 0.29484 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.

0.29484 as a fraction equals 29484/100000 or 7371/25000

Now let's break down the steps for converting 0.29484 into a fraction.

Step 1:

First, we express 0.29484 as a fraction by placing it over 1:
0.29484/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.29484 x 100000/1 x 100000
  =  
29484/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 29484 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 29484 are: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 252 273 324 351 364 378 468 546 567 702 756 819 1053 1092 1134 1404 1638 2106 2268 2457 3276 4212 4914 7371 9828 14742 29484
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 29484 and 100000 is: 4

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 4 in this case.
29484 ÷ 4/100000 ÷ 4
  =  
7371/25000


Great Work! We've just determined that 0.29484 as a fraction equals 29484/100000 or 7371/25000 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 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.

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.

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.

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.

Math Planet has customized math courses for high school students.

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

Tailored for college students Paul's Online Math Notes let's students independent study for their math classes. It's also a free service.



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