What is 4.0402 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 4.0402 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 4.0402 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.

4.0402 as a fraction equals 40402/10000 or 20201/5000

Now let's break down the steps for converting 4.0402 into a fraction.

Step 1:

First, we express 4.0402 as a fraction by placing it over 1:
4.0402/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
4.0402 x 10000/1 x 10000
  =  
40402/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 40402 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 40402 are: 1 2 20201 40402
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 40402 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.
40402 ÷ 2/10000 ÷ 2
  =  
20201/5000


Great Work! We've just determined that 4.0402 as a fraction equals 40402/10000 or 20201/5000 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 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 prime numbers?

Prime numbers are numbers greater than 1 that have only two factors: 1 and themselves. Examples include 2, 3, 5, 7, 11, 13, 17 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 an absolute value?

The absolute value of a number is its distance from zero. For example, the absolute value of -20 is 20.

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..


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.

Use Study.com for an entertaining video lesson approach.

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.



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