What is 2.1808 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 2.1808 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 2.1808 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.

2.1808 as a fraction equals 21808/10000 or 1363/625

Now let's break down the steps for converting 2.1808 into a fraction.

Step 1:

First, we express 2.1808 as a fraction by placing it over 1:
2.1808/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
2.1808 x 10000/1 x 10000
  =  
21808/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 21808 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 21808 are: 1 2 4 8 16 29 47 58 94 116 188 232 376 464 752 1363 2726 5452 10904 21808
The factors of 10000 are: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000
The GCF of 21808 and 10000 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.
21808 ÷ 16/10000 ÷ 16
  =  
1363/625


Great Work! We've just determined that 2.1808 as a fraction equals 21808/10000 or 1363/625 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 simple or reduced fractions?

Simple or reduced fractions are fractions whose top number (numerator) and bottom number (denominator) cannot be any smaller, while still being a whole number. That is to say, the number can no longer be divided by any number other than one while still being a whole number. 1/3 is a good example of a fully reduced fraction.

What is a terminating decimal?

A terminating decimal is a decimal number that has a finite number of digits after the decimal point. For example, 0.35 and 3.5 are terminating decimals.

What is a repeating decimal?

A repeating decimal is a decimal in which a digit or group of digits repeats infinitely. For example, 0.3333... (where 3 repeats forever) and 0.142857142857... (where 142857 repeats) are repeating decimals.

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.

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

Use Study.com for an entertaining video lesson approach.

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



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