What is 0.21488 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.21488 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 0.21488 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.

0.21488 as a fraction equals 21488/100000 or 1343/6250

Now let's break down the steps for converting 0.21488 into a fraction.

Step 1:

First, we express 0.21488 as a fraction by placing it over 1:
0.21488/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.21488 x 100000/1 x 100000
  =  
21488/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 21488 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 21488 are: 1 2 4 8 16 17 34 68 79 136 158 272 316 632 1264 1343 2686 5372 10744 21488
The factors of 100000 are: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000
The GCF of 21488 and 100000 is: 16

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 16 in this case.
21488 ÷ 16/100000 ÷ 16
  =  
1343/6250


Great Work! We've just determined that 0.21488 as a fraction equals 21488/100000 or 1343/6250 in its simplest form.

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Frequently asked math questions, including decimals and fractions

Read the following section to help deepen your understanding of basic math concepts.

What are imperial fractions?

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.

What does the Greatest Common Factor (GCF) mean?

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.

Why is there a need to convert decimals to fractions anyway?

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.

What are irrational numbers?

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).

What is a decimal?

A decimal is a number that includes a decimal point, representing a fraction of a whole. For example, 0.5 represents 1/2.

What is a percentage as a fraction?

A percentage can be written as a fraction by placing it over 100 and simplifying. For example, 20% = 20/100 = 1/5.


Educational math links

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.

Build math skills with Brilliant.org interactive problem solving puzzles designed for adults. Algebra, geometry, logic, and probability are covered with video guides.

For fun game based learning try Prodigy Math.

For a self-study courses for Algebra. We recommend Purple Math.



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