What is 2.1462 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 2.1462 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 2.1462 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.

2.1462 as a fraction equals 21462/10000 or 10731/5000

Now let's break down the steps for converting 2.1462 into a fraction.

Step 1:

First, we express 2.1462 as a fraction by placing it over 1:
2.1462/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
2.1462 x 10000/1 x 10000
  =  
21462/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 21462 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 21462 are: 1 2 3 6 7 14 21 42 49 73 98 146 147 219 294 438 511 1022 1533 3066 3577 7154 10731 21462
The factors of 10000 are: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000
The GCF of 21462 and 10000 is: 2

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.
21462 ÷ 2/10000 ÷ 2
  =  
10731/5000


Great Work! We've just determined that 2.1462 as a fraction equals 21462/10000 or 10731/5000 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 mixed numbers?

A mixed number is made up of a whole number and a proper fraction.

What are composite numbers?

Composite numbers are numbers that are greater than 1 and have more than two factors. For example, 6 is a composite number because it has factors 1, 2,3 and 6.

What is a percentage?

A percentage is a number as a fraction of 100. It is denoted using the '%' symbol. For example, 20% means 20 out of 100.

What is a terminating decimal?

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.

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.

What is a fraction bar?

A fraction bar is the horizontal line that separates the numerator and denominator in a fraction. It also represents division. For example, in 2/4, the fraction bar means 2 divided by 4.


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.

For early learners we recommend IXL Math. The math courses range from Pre-K to grade 12.

Desmos.com has a focus on equation, functions and visual graphs.

Tailored for college students Paul's Online Math Notes let's students independent study for their math classes. It's also a free service.



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