What is 1.804 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.804 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 1.804 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.

1.804 as a fraction equals 1804/1000 or 451/250

Now let's break down the steps for converting 1.804 into a fraction.

Step 1:

First, we express 1.804 as a fraction by placing it over 1:
1.804/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.804 x 1000/1 x 1000
  =  
1804/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 1804 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 1804 are: 1 2 4 11 22 41 44 82 164 451 902 1804
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 1804 and 1000 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.
1804 ÷ 4/1000 ÷ 4
  =  
451/250


Great Work! We've just determined that 1.804 as a fraction equals 1804/1000 or 451/250 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 simple or reduced fractions?

Simple or reduced fractions are fractions whose top number (numerator) and bottom number (denominator) cannot be any smaller, while still being a whole number. That is to say, the number can no longer be divided by any number other than one while still being a whole number. 1/3 is a good example of a fully reduced fraction.

What are composite numbers?

Composite numbers are numbers that are greater than 1 and have more than two factors. For example, 6 is a composite number because it has factors 1, 2,3 and 6.

How do you convert a fraction to a decimal?

A fraction can be converted to a decimal by dividing the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75. Check out our fraction page for lots of examples on how to convert fractions into decimals.

What is a fraction as a percentage?

A fraction can be converted to a percentage by dividing the numerator by the denominator and multiplying by 100. For example, 3/6 = 1/2 = 0.50 × 100 = 50%.


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.

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

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



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