What is 2.39904 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 2.39904 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 2.39904 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.

2.39904 as a fraction equals 239904/100000 or 7497/3125

Now let's break down the steps for converting 2.39904 into a fraction.

Step 1:

First, we express 2.39904 as a fraction by placing it over 1:
2.39904/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
2.39904 x 100000/1 x 100000
  =  
239904/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 239904 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 239904 are: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 49 51 56 63 68 72 84 96 98 102 112 119 126 136 144 147 153 168 196 204 224 238 252 272 288 294 306 336 357 392 408 441 476 504 544 588 612 672 714 784 816 833 882 952 1008 1071 1176 1224 1428 1568 1632 1666 1764 1904 2016 2142 2352 2448 2499 2856 3332 3528 3808 4284 4704 4896 4998 5712 6664 7056 7497 8568 9996 11424 13328 14112 14994 17136 19992 26656 29988 34272 39984 59976 79968 119952 239904
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 239904 and 100000 is: 32

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 32 in this case.
239904 ÷ 32/100000 ÷ 32
  =  
7497/3125


Great Work! We've just determined that 2.39904 as a fraction equals 239904/100000 or 7497/3125 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 does the Greatest Common Factor (GCF) mean?

The greatest common factor is also referred to as the highest common factor. In math, this refers to the greatest common divisor of two or more whole numbers (also known as integers). In simple terms, this is the biggest number that can divide evenly into two or more numbers. For example, the GCF for 4 and 8 is 4.

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 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 ratio?

A ratio is a relationship between two numbers that shows how many times one value is contained within another. For example, the ratio 3:1 means there are 3 parts of one quantity for every 1 part of another.

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.

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.


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.

Use Study.com for an entertaining video lesson approach.

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

The Fusion Academy provides one on one math lessons. Yes, one teach to one student for both middle and high school students.



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