What is 0.8242 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.8242 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 0.8242 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.

0.8242 as a fraction equals 8242/10000 or 4121/5000

Now let's break down the steps for converting 0.8242 into a fraction.

Step 1:

First, we express 0.8242 as a fraction by placing it over 1:
0.8242/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.8242 x 10000/1 x 10000
  =  
8242/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 8242 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 8242 are: 1 2 13 26 317 634 4121 8242
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 8242 and 10000 is: 2

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 2 in this case.
8242 ÷ 2/10000 ÷ 2
  =  
4121/5000


Great Work! We've just determined that 0.8242 as a fraction equals 8242/10000 or 4121/5000 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 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 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.

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.

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 early learners we recommend IXL Math. The math courses range from Pre-K to grade 12.

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

For a UK based curriculum the BBC.co.uk provides a useful classroom aid to math lessons.



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