What is -3.6 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal -3.6 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 -3.6 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.

-3.6 as a fraction equals -36/10 or 18/-5

Now let's break down the steps for converting -3.6 into a fraction.

Step 1:

First, we express -3.6 as a fraction by placing it over 1:
-3.6/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
-3.6 x 10/1 x 10
  =  
-36/10

Step 3:

Next, we find the Greatest Common Factor (GCF) for -36 and 10. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of -36 are:
The factors of 10 are: 1 2 5 10
The GCF of -36 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.
-36 ÷ -2/10 ÷ -2
  =  
18/-5


Great Work! We've just determined that -3.6 as a fraction equals -36/10 or 18/-5 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 is a decimal?

A decimal is a number that includes a decimal point, representing a fraction of a whole. For example, 0.5 represents 1/2.

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.

What is a median?

The median is the mid value in a set of numbers when the numbers are arranged in order. If there are two middle numbers, the median is the average of those both those numbers.

How do you convert a fraction to a decimal?

A fraction can be converted to a decimal by dividing the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75. Check out our fraction page for lots of examples on how to convert fractions into decimals.

How do you convert a decimal to a fraction?

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 10, 100, or 1000 depending on the decimal places, then simplify. For example, 0.75 = 75/100 = 3/4 Reference our decimal to fraction converter page for a detailed breakdown..

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.


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 personalized 1-1 lessons check out Preply.com.

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



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