What is 4.36404 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 4.36404 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 4.36404 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.

4.36404 as a fraction equals 436404/100000 or 109101/25000

Now let's break down the steps for converting 4.36404 into a fraction.

Step 1:

First, we express 4.36404 as a fraction by placing it over 1:
4.36404/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
4.36404 x 100000/1 x 100000
  =  
436404/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 436404 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 436404 are: 1 2 3 4 6 12 41 82 123 164 246 492 887 1774 2661 3548 5322 10644 36367 72734 109101 145468 218202 436404
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 436404 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.
436404 ÷ 4/100000 ÷ 4
  =  
109101/25000


Great Work! We've just determined that 4.36404 as a fraction equals 436404/100000 or 109101/25000 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 is the Least Common Multiple (LCM)?

The Least Common Multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the given numbers. For example, the LCM of 4 and 6 is 12.

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 are irrational numbers?

An irrational number is a number that cannot be expressed as a fraction of two integers. Examples include π (pi) and √2 (the square root of 2).

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.

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.

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 a structured learning approach with video lessons try the Khan Academy.

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

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



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