What is -0.83 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal -0.83 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 -0.83 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.

-0.83 as a fraction equals -83/100 or 83/-100

Now let's break down the steps for converting -0.83 into a fraction.

Step 1:

First, we express -0.83 as a fraction by placing it over 1:
-0.83/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
-0.83 x 100/1 x 100
  =  
-83/100

Step 3:

Next, we find the Greatest Common Factor (GCF) for -83 and 100. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of -83 are:
The factors of 100 are: 1 2 4 5 10 20 25 50 100
The GCF of -83 and 100 is: -1

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 -1 in this case.
-83 ÷ -1/100 ÷ -1
  =  
83/-100


Great Work! We've just determined that -0.83 as a fraction equals -83/100 or 83/-100 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 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 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 is a percentage?

A percentage is a number as a fraction of 100. It is denoted using the '%' symbol. For example, 20% means 20 out of 100.

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.

The Art of Problem Solving provides courses tailored for school students including elementary, middle and high school.

Math Planet has customized math courses for high school students.

For a self-study courses for Algebra. We recommend Purple Math.



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