What is 5.04795 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 5.04795 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 5.04795 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.

5.04795 as a fraction equals 504795/100000 or 100959/20000

Now let's break down the steps for converting 5.04795 into a fraction.

Step 1:

First, we express 5.04795 as a fraction by placing it over 1:
5.04795/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
5.04795 x 100000/1 x 100000
  =  
504795/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 504795 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 504795 are: 1 3 5 15 73 219 365 461 1095 1383 2305 6915 33653 100959 168265 504795
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 504795 and 100000 is: 5

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 5 in this case.
504795 ÷ 5/100000 ÷ 5
  =  
100959/20000


Great Work! We've just determined that 5.04795 as a fraction equals 504795/100000 or 100959/20000 in its simplest form.

Convert any decimal to a fraction

Discover how different decimal numbers can be expressed as fractions.

Enter any decimal value:



Frequently asked math questions, including decimals and fractions

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

What are improper fractions?

Improper fractions are fractions where the numerator (the top number) is greater than or equal to the denominator (the bottom number). Example 3/2

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 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 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 proportion?

A proportion is an equation that states that two ratios are equal. For example, 1/2 = 2/4 shows a proportional relationship.

What is a decimal place?

A decimal place refers to the position of a digit to the right of the decimal point. For example, in 3.141, the digit 1 is in the thousandths place.


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

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



© www.asafraction.net