What is 1.44804 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.44804 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 1.44804 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.

1.44804 as a fraction equals 144804/100000 or 36201/25000

Now let's break down the steps for converting 1.44804 into a fraction.

Step 1:

First, we express 1.44804 as a fraction by placing it over 1:
1.44804/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.44804 x 100000/1 x 100000
  =  
144804/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 144804 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 144804 are: 1 2 3 4 6 11 12 22 33 44 66 132 1097 2194 3291 4388 6582 12067 13164 24134 36201 48268 72402 144804
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 144804 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.
144804 ÷ 4/100000 ÷ 4
  =  
36201/25000


Great Work! We've just determined that 1.44804 as a fraction equals 144804/100000 or 36201/25000 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 whole numbers?

Whole numbers are numbers 0, 1, 2, 3, etc. Whole numbers do not have a decimal point or fractional part. Whole numbers are always positive. Negative numbers are not considered whole.

What are mixed numbers?

A mixed number is made up of a whole number and a proper 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 decimal?

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

What is a median?

The median is the mid value in a set of numbers when the numbers are arranged in order. If there are two middle numbers, the median is the average of those both those numbers.


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 fun game based learning try Prodigy Math.

Math Planet has customized math courses for high school students.

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



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