In this article, we will guide you step by step through the process of converting the decimal 0.2175 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 0.2175 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 0.2175 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 2175 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 25 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
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).
A decimal is a number that includes a decimal point, representing a fraction of a whole. For example, 0.5 represents 1/2.
An exponent refers to the number of times a number (the base) is multiplied by itself. For example, 2³ means 2 × 2 × 2 = 8.
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.
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 personalized 1-1 lessons check out Preply.com.
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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