What is 0.808 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.808 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 0.808 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.

0.808 as a fraction equals 808/1000 or 101/125

Now let's break down the steps for converting 0.808 into a fraction.

Step 1:

First, we express 0.808 as a fraction by placing it over 1:
0.808/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.808 x 1000/1 x 1000
  =  
808/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 808 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 808 are: 1 2 4 8 101 202 404 808
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 808 and 1000 is: 8

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 8 in this case.
808 ÷ 8/1000 ÷ 8
  =  
101/125


Great Work! We've just determined that 0.808 as a fraction equals 808/1000 or 101/125 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 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 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 is a decimal?

A decimal is a number that includes a decimal point, representing a fraction of a whole. For example, 0.5 represents 1/2.

What is a square root?

The square root of a number is a value when multiplied by itself, gives that number. For example, the square root of 9 is 3 because 3 × 3 = 9.

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.

What is a decimal as a percentage?

A decimal can be converted to a percentage by multiplying it by 100 and adding a percent sign. For example, 0.75 × 100 = 75%.


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.

Math Planet has customized math courses for high school students.

The Fusion Academy provides one on one math lessons. Yes, one teach to one student for both middle and high school students.



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