In this article, we will guide you step by step through the process of converting the decimal 0.1824 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 0.1824 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.
Step 1:
First, we express 0.1824 as a fraction by placing it over 1:Step 2:
Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.Step 3:
Next, we find the Greatest Common Factor (GCF) for 1824 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.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 16 in this case.Discover how different decimal numbers can be expressed as fractions.
Practice makes perfect! Build your skills in converting decimals to fractions by following these step by step examples:
Read the following section to help deepen your understanding of basic math concepts.
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.
Proper fractions are fractions where the numerator (the top number) is less than the denominator (the bottom number). Example 2/3
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.
A percentage is a number as a fraction of 100. It is denoted using the '%' symbol. For example, 20% means 20 out of 100.
A terminating decimal is a decimal number that has a finite number of digits after the decimal point. For example, 0.35 and 3.5 are terminating decimals.
A decimal can be converted to a percentage by multiplying it by 100 and adding a percent sign. For example, 0.75 × 100 = 75%.
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.
Desmos.com has a focus on equation, functions and visual graphs.
Math Planet has customized math courses for high school students.