What is 5.04348 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 5.04348 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 5.04348 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.

5.04348 as a fraction equals 504348/100000 or 126087/25000

Now let's break down the steps for converting 5.04348 into a fraction.

Step 1:

First, we express 5.04348 as a fraction by placing it over 1:
5.04348/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
5.04348 x 100000/1 x 100000
  =  
504348/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 504348 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 504348 are: 1 2 3 4 6 12 13 26 39 52 53 61 78 106 122 156 159 183 212 244 318 366 636 689 732 793 1378 1586 2067 2379 2756 3172 3233 4134 4758 6466 8268 9516 9699 12932 19398 38796 42029 84058 126087 168116 252174 504348
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 504348 and 100000 is: 4

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 4 in this case.
504348 ÷ 4/100000 ÷ 4
  =  
126087/25000


Great Work! We've just determined that 5.04348 as a fraction equals 504348/100000 or 126087/25000 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.

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 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 decimal?

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

How do you convert a decimal to a fraction?

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 10, 100, or 1000 depending on the decimal places, then simplify. For example, 0.75 = 75/100 = 3/4 Reference our decimal to fraction converter page for a detailed breakdown..

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.

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

For a UK based curriculum the BBC.co.uk provides a useful classroom aid to math lessons.

The Fusion Academy provides one on one math lessons. Yes, one teach to one student for both middle and high school students.



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