What is -0.2 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal -0.2 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 -0.2 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.

-0.2 as a fraction equals -2/10 or 1/-5

Now let's break down the steps for converting -0.2 into a fraction.

Step 1:

First, we express -0.2 as a fraction by placing it over 1:

-0.2/1

Step 2:

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

-0.2 x 10/1 x 10

-2/10

Step 3:

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

-2 ÷ -2/10 ÷ -2

1/-5

Great Work! We've just determined that -0.2 as a fraction equals -2/10 or 1/-5 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 mixed numbers?

A mixed number is made up of a whole number and a proper fraction.

What are proper fractions?

Proper fractions are fractions where the numerator (the top number) is less than the denominator (the bottom number). Example ²/₃

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 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 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 a structured learning approach with video lessons try the Khan Academy.

For fun game based learning try Prodigy Math.

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