What is 0.24464 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.24464 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 0.24464 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.

0.24464 as a fraction equals 24464/100000 or 1529/6250

Now let's break down the steps for converting 0.24464 into a fraction.

Step 1:

First, we express 0.24464 as a fraction by placing it over 1:
0.24464/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.24464 x 100000/1 x 100000
  =  
24464/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 24464 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 24464 are: 1 2 4 8 11 16 22 44 88 139 176 278 556 1112 1529 2224 3058 6116 12232 24464
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 24464 and 100000 is: 16

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 16 in this case.
24464 ÷ 16/100000 ÷ 16
  =  
1529/6250


Great Work! We've just determined that 0.24464 as a fraction equals 24464/100000 or 1529/6250 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 imperial fractions?

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 composite numbers?

Composite numbers are numbers that are greater than 1 and have more than two factors. For example, 6 is a composite number because it has factors 1, 2,3 and 6.

What is a percentage?

A percentage is a number as a fraction of 100. It is denoted using the '%' symbol. For example, 20% means 20 out of 100.

What is a mean (average)?

The mean, or average, is calculated by adding all the numbers in a set and dividing by the total number of values. For example, the mean of 3, 4, and 5 is (3 + 4 + 5)/3 = 4.

What is a fraction bar?

A fraction bar is the horizontal line that separates the numerator and denominator in a fraction. It also represents division. For example, in 2/4, the fraction bar means 2 divided by 4.


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.

Build math skills with Brilliant.org interactive problem solving puzzles designed for adults. Algebra, geometry, logic, and probability are covered with video guides.

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

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



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