In this article, we will guide you step by step through the process of converting the decimal 0.0246 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 0.0246 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 0.0246 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 246 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 2 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.
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.
A decimal is a number that includes a decimal point, representing a fraction of a whole. For example, 0.5 represents 1/2.
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.
The median is the mid value in a set of numbers when the numbers are arranged in order. If there are two middle numbers, the median is the average of those both those numbers.
A percentage can be written as a fraction by placing it over 100 and simplifying. For example, 20% = 20/100 = 1/5.
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.
For a UK based curriculum the BBC.co.uk provides a useful classroom aid to math lessons.
Tailored for college students Paul's Online Math Notes let's students independent study for their math classes. It's also a free service.