What is 0.8482 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.8482 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 0.8482 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.

0.8482 as a fraction equals 8482/10000 or 4241/5000

Now let's break down the steps for converting 0.8482 into a fraction.

Step 1:

First, we express 0.8482 as a fraction by placing it over 1:

0.8482/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.

0.8482 x 10000/1 x 10000

8482/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 8482 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 8482 are: 1 2 4241 8482
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 8482 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.

8482 ÷ 2/10000 ÷ 2

4241/5000

Great Work! We've just determined that 0.8482 as a fraction equals 8482/10000 or 4241/5000 in its simplest form.

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Examples of converting decimals to fractions

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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 whole numbers?

Whole numbers are numbers 0, 1, 2, 3, etc. Whole numbers do not have a decimal point or fractional part. Whole numbers are always positive. Negative numbers are not considered whole.

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 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 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 proportion?

A proportion is an equation that states that two ratios are equal. For example, ¹/₂ = ²/₄ shows a proportional relationship.

What is a mean (average)?

The mean, or average, is calculated by adding all the numbers in a set and dividing by the total number of values. For example, the mean of 3, 4, and 5 is (3 + 4 + 5)/3 = 4.

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.

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

Math Planet has customized math courses for high school students.

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