What is 3.27888 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 3.27888 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 3.27888 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.

3.27888 as a fraction equals 327888/100000 or 20493/6250

Now let's break down the steps for converting 3.27888 into a fraction.

Step 1:

First, we express 3.27888 as a fraction by placing it over 1:
3.27888/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
3.27888 x 100000/1 x 100000
  =  
327888/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 327888 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 327888 are: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 27 33 36 44 46 48 54 66 69 72 81 88 92 99 108 132 138 144 162 176 184 198 207 216 253 264 276 297 324 368 396 414 432 506 528 552 594 621 648 759 792 828 891 1012 1104 1188 1242 1296 1518 1584 1656 1782 1863 2024 2277 2376 2484 3036 3312 3564 3726 4048 4554 4752 4968 6072 6831 7128 7452 9108 9936 12144 13662 14256 14904 18216 20493 27324 29808 36432 40986 54648 81972 109296 163944 327888
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 327888 and 100000 is: 16

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 16 in this case.
327888 ÷ 16/100000 ÷ 16
  =  
20493/6250


Great Work! We've just determined that 3.27888 as a fraction equals 327888/100000 or 20493/6250 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 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 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.

How do you convert a decimal to a fraction?

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 10, 100, or 1000 depending on the decimal places, then simplify. For example, 0.75 = 75/100 = 3/4 Reference our decimal to fraction converter page for a detailed breakdown..


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.

Math Is Fun covers math topics including decimals, fractions, data, money, algebra, and calculus. Courses are designed for students from Kindergarten to Grade 12.



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