What is 0.47082 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.47082 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 0.47082 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.

0.47082 as a fraction equals 47082/100000 or 23541/50000

Now let's break down the steps for converting 0.47082 into a fraction.

Step 1:

First, we express 0.47082 as a fraction by placing it over 1:
0.47082/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.47082 x 100000/1 x 100000
  =  
47082/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 47082 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 47082 are: 1 2 3 6 7 14 19 21 38 42 57 59 114 118 133 177 266 354 399 413 798 826 1121 1239 2242 2478 3363 6726 7847 15694 23541 47082
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 47082 and 100000 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.
47082 ÷ 2/100000 ÷ 2
  =  
23541/50000


Great Work! We've just determined that 0.47082 as a fraction equals 47082/100000 or 23541/50000 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 proper fractions?

Proper fractions are fractions where the numerator (the top number) is less than the denominator (the bottom number). Example 2/3

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 is an exponent?

An exponent refers to the number of times a number (the base) is multiplied by itself. For example, 2³ means 2 × 2 × 2 = 8.

What is a square root?

The square root of a number is a value when multiplied by itself, gives that number. For example, the square root of 9 is 3 because 3 × 3 = 9.

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.

For personalized 1-1 lessons check out Preply.com.

The Art of Problem Solving provides courses tailored for school students including elementary, middle and high school.

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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