In this article, we will guide you step by step through the process of converting the decimal 0.13152 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 0.13152 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 0.13152 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 13152 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 32 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.
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.
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).
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.
A proportion is an equation that states that two ratios are equal. For example, 1/2 = 2/4 shows a proportional relationship.
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.
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.