In this article, we will guide you step by step through the process of converting the decimal 0.07666 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 0.07666 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 0.07666 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 7666 and 100000. 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.
Proper fractions are fractions where the numerator (the top number) is less than the denominator (the bottom number). Example 2/3
Improper fractions are fractions where the numerator (the top number) is greater than or equal to the denominator (the bottom number). Example 3/2
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.
The U.S. is one of a few countries worldwide that still uses the Imperial system of measurement, which is a fractional measurement system, where items are measured in feet, inches, pounds, ounces, yards, and so on. The majority of the rest of the world uses the metric system, which is a decimal measurement system, where items are measured in cm, meters, grams, kilos, and so on.
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 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%.
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.
For a UK based curriculum the BBC.co.uk provides a useful classroom aid to math lessons.
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