What is 0.18 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.18 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 0.18 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.

0.18 as a fraction equals 18/100 or 9/50

Now let's break down the steps for converting 0.18 into a fraction.

Step 1:

First, we express 0.18 as a fraction by placing it over 1:
0.18/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.18 x 100/1 x 100
  =  
18/100

Step 3:

Next, we find the Greatest Common Factor (GCF) for 18 and 100. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 18 are: 1 2 3 6 9 18
The factors of 100 are: 1 2 4 5 10 20 25 50 100
The GCF of 18 and 100 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.
18 ÷ 2/100 ÷ 2
  =  
9/50


Great Work! We've just determined that 0.18 as a fraction equals 18/100 or 9/50 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 whole numbers?

Whole numbers are numbers 0, 1, 2, 3, etc. Whole numbers do not have a decimal point or fractional part. Whole numbers are always positive. Negative numbers are not considered whole.

What does the Greatest Common Factor (GCF) mean?

The greatest common factor is also referred to as the highest common factor. In math, this refers to the greatest common divisor of two or more whole numbers (also known as integers). In simple terms, this is the biggest number that can divide evenly into two or more numbers. For example, the GCF for 4 and 8 is 4.

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 an exponent?

An exponent refers to the number of times a number (the base) is multiplied by itself. For example, 2³ means 2 × 2 × 2 = 8.

What is a square root?

The square root of a number is a value when multiplied by itself, gives that number. For example, the square root of 9 is 3 because 3 × 3 = 9.

What is a fraction as a percentage?

A fraction can be converted to a percentage by dividing the numerator by the denominator and multiplying by 100. For example, 3/6 = 1/2 = 0.50 × 100 = 50%.


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.

The Fusion Academy provides one on one math lessons. Yes, one teach to one student for both middle and high school students.

Tailored for college students Paul's Online Math Notes let's students independent study for their math classes. It's also a free service.



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