What is 0.84588 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.84588 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 0.84588 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.

0.84588 as a fraction equals 84588/100000 or 21147/25000

Now let's break down the steps for converting 0.84588 into a fraction.

Step 1:

First, we express 0.84588 as a fraction by placing it over 1:
0.84588/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.84588 x 100000/1 x 100000
  =  
84588/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 84588 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 84588 are: 1 2 3 4 6 7 12 14 19 21 28 38 42 53 57 76 84 106 114 133 159 212 228 266 318 371 399 532 636 742 798 1007 1113 1484 1596 2014 2226 3021 4028 4452 6042 7049 12084 14098 21147 28196 42294 84588
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 84588 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.
84588 ÷ 4/100000 ÷ 4
  =  
21147/25000


Great Work! We've just determined that 0.84588 as a fraction equals 84588/100000 or 21147/25000 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 proper fractions?

Proper fractions are fractions where the numerator (the top number) is less than the denominator (the bottom number). Example 2/3

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 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 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 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.

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

Math Planet has customized math courses for high school students.

Math Is Fun covers math topics including decimals, fractions, data, money, algebra, and calculus. Courses are designed for students from Kindergarten to Grade 12.



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