Learn how to convert -1.2 to a fraction and simplify it in this comprehensive guide. Get the answer to the question:

what is -1.2 as a fraction?

## Introduction

When it comes to mathematics, negative numbers can be a challenging concept to understand. However, they are essential in many areas of life, from accounting to science. One question that often arises is how to express negative decimals as fractions. In this article, we will explore how to convert -1.2 to a fraction and simplify it.

## Understanding Negative Numbers

Before we dive into the specifics of converting -1.2 to a fraction, let’s first understand negative numbers. Negative numbers are any number less than zero and are represented with a minus sign (-) in front of them. They are used to represent a decrease or a loss, such as a decrease in temperature or a loss of money.

Negative numbers are essential in many areas of mathematics, such as algebra, geometry, and calculus. They are also used in real-life situations, such as calculating debt or tracking changes in temperature.

It’s important to understand that negative numbers follow the same rules as positive numbers when it comes to basic mathematical operations, such as addition, subtraction, multiplication, and division. The only difference is the presence of the minus sign.

Now that we have a basic understanding of negative numbers let’s move on to the main topic of this article, converting -1.2 to a fraction.

## What is -1.2?

-1.2 is a negative decimal number. It can also be expressed as a fraction by placing the decimal over a power of ten. In this case, -1.2 can be written as -12/10 or -6/5. However, to simplify the fraction, we need to reduce it to its lowest terms. In the next section, we will explore how to convert -1.2 to a simplified fraction.

## Converting -1.2 to a Fraction

To convert -1.2 to a fraction, we need to follow a few simple steps. First, we need to move the decimal point two places to the right to get rid of the decimal. This gives us -120/100. Next, we can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 20. This gives us -6/5, which is the simplified fraction equivalent of -1.2.

It’s important to note that when converting negative decimals to fractions, we need to pay attention to the sign. In this case, the negative sign is included in the numerator to ensure that the fraction represents a negative number.

## Simplifying the Fraction

As mentioned earlier, -1.2 can be simplified to -6/5. However, it’s essential to understand how to simplify fractions in general. When simplifying fractions, we need to find the greatest common factor (GCF) of the numerator and denominator and divide both by that number.

For example, let’s say we have the fraction 12/18. The GCF of 12 and 18 is 6, so we can divide both the numerator and denominator by 6 to simplify the fraction to 2/3.

It’s also important to note that fractions should always be simplified to their lowest terms, meaning that the numerator and denominator have no common factors other than 1. This ensures that the fraction is expressed in its simplest form.

In conclusion, converting negative decimals to fractions can be challenging, but following a few simple steps can make it much easier. By moving the decimal point and simplifying the fraction, we can express -1.2 as the fraction -6/5. Remember to always simplify fractions to their lowest terms and pay attention to the sign when converting negative decimals to fractions.

## Simplifying the Fraction

To simplify a fraction, we need to find the greatest common factor (GCF) of the numerator and denominator and divide both by it. In the case of -1.2 as a fraction, the GCF is 6. To see why, let’s break down the decimal into its individual components.

-1.2 can be written as -1 + (-0.2). The fraction -1/1 is already in its simplest form, so we only need to focus on -0.2. To convert -0.2 to a fraction, we need to divide the decimal by 1/10, which is the same as multiplying it by 10/1. This gives us:

-0.2 x 10/1 = -2/10

Now, we can simplify -2/10 to its lowest terms by dividing both the numerator and denominator by their GCF, which is 2. This gives us:

-2/10 ÷ 2/2 = -1/5

Therefore, -1.2 can be expressed as a simplified fraction of -6/5 or -1 1/5.

## Conclusion

Negative numbers can be a challenging concept to understand, but they are essential in many areas of life and mathematics. In this article, we explored how to convert -1.2 to a fraction and simplify it. By breaking down the decimal and finding the GCF of the numerator and denominator, we were able to convert -1.2 to the simplified fraction of -1 1/5 or -6/5. Remember, when dealing with negative numbers, it’s essential to follow the same rules as positive numbers and to understand the concept of negative values as representing a decrease or loss.