In this article, we will guide you step by step through the process of converting the decimal 3.536 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 3.536 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 3.536 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 3536 and 1000. 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 8 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.
A mixed number is made up of a whole number and a proper fraction.
Proper fractions are fractions where the numerator (the top number) is less than the denominator (the bottom number). Example 2/3
Yards, feet, and inches are all part of the Imperial measurement system, so a 1/4 of an inch is described as an imperial fraction.
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.
An irrational number is a number that cannot be expressed as a fraction of two integers. Examples include π (pi) and √2 (the square root of 2).
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..
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.
Use Study.com for an entertaining video lesson approach.
Desmos.com has a focus on equation, functions and visual graphs.
Tailored for college students Paul's Online Math Notes let's students independent study for their math classes. It's also a free service.