What is 1.80804 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.80804 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 1.80804 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.

1.80804 as a fraction equals 180804/100000 or 45201/25000

Now let's break down the steps for converting 1.80804 into a fraction.

Step 1:

First, we express 1.80804 as a fraction by placing it over 1:
1.80804/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.80804 x 100000/1 x 100000
  =  
180804/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 180804 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 180804 are: 1 2 3 4 6 12 13 19 26 38 39 52 57 61 76 78 114 122 156 183 228 244 247 366 494 732 741 793 988 1159 1482 1586 2318 2379 2964 3172 3477 4636 4758 6954 9516 13908 15067 30134 45201 60268 90402 180804
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 180804 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.
180804 ÷ 4/100000 ÷ 4
  =  
45201/25000


Great Work! We've just determined that 1.80804 as a fraction equals 180804/100000 or 45201/25000 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.

Why is there a need to convert decimals to fractions anyway?

The U.S. is one of a few countries worldwide that still uses the Imperial system of measurement, which is a fractional measurement system, where items are measured in feet, inches, pounds, ounces, yards, and so on. The majority of the rest of the world uses the metric system, which is a decimal measurement system, where items are measured in cm, meters, grams, kilos, and so on.

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.

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 mean (average)?

The mean, or average, is calculated by adding all the numbers in a set and dividing by the total number of values. For example, the mean of 3, 4, and 5 is (3 + 4 + 5)/3 = 4.

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.

What is a fraction bar?

A fraction bar is the horizontal line that separates the numerator and denominator in a fraction. It also represents division. For example, in 2/4, the fraction bar means 2 divided by 4.


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.

Build math skills with Brilliant.org interactive problem solving puzzles designed for adults. Algebra, geometry, logic, and probability are covered with video guides.

Desmos.com has a focus on equation, functions and visual graphs.

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



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