What is 3.80328 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 3.80328 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 3.80328 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.

3.80328 as a fraction equals 380328/100000 or 47541/12500

Now let's break down the steps for converting 3.80328 into a fraction.

Step 1:

First, we express 3.80328 as a fraction by placing it over 1:
3.80328/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
3.80328 x 100000/1 x 100000
  =  
380328/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 380328 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 380328 are: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 53 69 78 92 104 106 138 156 159 184 212 276 299 312 318 424 552 598 636 689 897 1196 1219 1272 1378 1794 2067 2392 2438 2756 3588 3657 4134 4876 5512 7176 7314 8268 9752 14628 15847 16536 29256 31694 47541 63388 95082 126776 190164 380328
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 380328 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.
380328 ÷ 8/100000 ÷ 8
  =  
47541/12500


Great Work! We've just determined that 3.80328 as a fraction equals 380328/100000 or 47541/12500 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.

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 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 is a terminating decimal?

A terminating decimal is a decimal number that has a finite number of digits after the decimal point. For example, 0.35 and 3.5 are terminating decimals.

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 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 fun game based learning try Prodigy Math.

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



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