What is 1.00805 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.00805 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 1.00805 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.

1.00805 as a fraction equals 100805/100000 or 20161/20000

Now let's break down the steps for converting 1.00805 into a fraction.

Step 1:

First, we express 1.00805 as a fraction by placing it over 1:
1.00805/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.00805 x 100000/1 x 100000
  =  
100805/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 100805 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 100805 are: 1 5 20161 100805
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 100805 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.
100805 ÷ 5/100000 ÷ 5
  =  
20161/20000


Great Work! We've just determined that 1.00805 as a fraction equals 100805/100000 or 20161/20000 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 mixed numbers?

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

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 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 are irrational numbers?

An irrational number is a number that cannot be expressed as a fraction of two integers. Examples include π (pi) and √2 (the square root of 2).

What are rounding decimals?

Rounding decimals means adjusting a number to a given place value. For example, rounding 3.186 to two decimal places gives 3.19. Note that last digit which is 6 is closer to 10 than 1 so the digit before it which is 8 move up a value to 9.


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 personalized 1-1 lessons check out Preply.com.

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

Math Planet has customized math courses for high school students.



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