What is -4.5 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal -4.5 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 -4.5 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.

-4.5 as a fraction equals -45/10 or 9/-2

Now let's break down the steps for converting -4.5 into a fraction.

Step 1:

First, we express -4.5 as a fraction by placing it over 1:
-4.5/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
-4.5 x 10/1 x 10
  =  
-45/10

Step 3:

Next, we find the Greatest Common Factor (GCF) for -45 and 10. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of -45 are:
The factors of 10 are: 1 2 5 10
The GCF of -45 and 10 is: -5

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 -5 in this case.
-45 ÷ -5/10 ÷ -5
  =  
9/-2


Great Work! We've just determined that -4.5 as a fraction equals -45/10 or 9/-2 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 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 is the Least Common Multiple (LCM)?

The Least Common Multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the given numbers. For example, the LCM of 4 and 6 is 12.

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 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 decimal place?

A decimal place refers to the position of a digit to the right of the decimal point. For example, in 3.141, the digit 1 is in the thousandths place.

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 fun game based learning try Prodigy Math.

For early learners we recommend IXL Math. The math courses range from Pre-K to grade 12.

Math Is Fun covers math topics including decimals, fractions, data, money, algebra, and calculus. Courses are designed for students from Kindergarten to Grade 12.



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