What is 5.14024 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 5.14024 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 5.14024 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.

5.14024 as a fraction equals 514024/100000 or 64253/12500

Now let's break down the steps for converting 5.14024 into a fraction.

Step 1:

First, we express 5.14024 as a fraction by placing it over 1:
5.14024/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
5.14024 x 100000/1 x 100000
  =  
514024/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 514024 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 514024 are: 1 2 4 7 8 14 28 56 67 134 137 268 274 469 536 548 938 959 1096 1876 1918 3752 3836 7672 9179 18358 36716 64253 73432 128506 257012 514024
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 514024 and 100000 is: 8

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 8 in this case.
514024 ÷ 8/100000 ÷ 8
  =  
64253/12500


Great Work! We've just determined that 5.14024 as a fraction equals 514024/100000 or 64253/12500 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 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 are rational numbers?

A rational number is any number that can be expressed as the fraction of two integers, such as 3/4, -5/2, or 0.75.

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 repeating decimal?

A repeating decimal is a decimal in which a digit or group of digits repeats infinitely. For example, 0.3333... (where 3 repeats forever) and 0.142857142857... (where 142857 repeats) are repeating decimals.

How do you convert a fraction to a decimal?

A fraction can be converted to a decimal by dividing the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75. Check out our fraction page for lots of examples on how to convert fractions into decimals.

What is a decimal as a percentage?

A decimal can be converted to a percentage by multiplying it by 100 and adding a percent sign. For example, 0.75 × 100 = 75%.


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 fun game based learning try Prodigy Math.

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

Math Planet has customized math courses for high school students.



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