What is 3.80184 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 3.80184 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 3.80184 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.

3.80184 as a fraction equals 380184/100000 or 47523/12500

Now let's break down the steps for converting 3.80184 into a fraction.

Step 1:

First, we express 3.80184 as a fraction by placing it over 1:
3.80184/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
3.80184 x 100000/1 x 100000
  =  
380184/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 380184 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 380184 are: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 73 84 93 124 146 168 186 217 219 248 292 372 434 438 511 584 651 744 868 876 1022 1302 1533 1736 1752 2044 2263 2604 3066 4088 4526 5208 6132 6789 9052 12264 13578 15841 18104 27156 31682 47523 54312 63364 95046 126728 190092 380184
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 380184 and 100000 is: 8

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 8 in this case.
380184 ÷ 8/100000 ÷ 8
  =  
47523/12500


Great Work! We've just determined that 3.80184 as a fraction equals 380184/100000 or 47523/12500 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 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.

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 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 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 a repeating decimal?

A repeating decimal is a decimal in which a digit or group of digits repeats infinitely. For example, 0.3333... (where 3 repeats forever) and 0.142857142857... (where 142857 repeats) are repeating decimals.


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 early learners we recommend IXL Math. The math courses range from Pre-K to grade 12.

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

Cliff Notes is tailored for independent study for the SAT, ACT, GMAT, GRE, and AP exams. It's a free service.



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