What is 0.83595 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.83595 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 0.83595 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.

0.83595 as a fraction equals 83595/100000 or 16719/20000

Now let's break down the steps for converting 0.83595 into a fraction.

Step 1:

First, we express 0.83595 as a fraction by placing it over 1:
0.83595/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.83595 x 100000/1 x 100000
  =  
83595/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 83595 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 83595 are: 1 3 5 15 5573 16719 27865 83595
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 83595 and 100000 is: 5

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 5 in this case.
83595 ÷ 5/100000 ÷ 5
  =  
16719/20000


Great Work! We've just determined that 0.83595 as a fraction equals 83595/100000 or 16719/20000 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

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 are prime numbers?

Prime numbers are numbers greater than 1 that have only two factors: 1 and themselves. Examples include 2, 3, 5, 7, 11, 13, 17 and so on.

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?

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


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.

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

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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