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 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.

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 median?

The median is the mid value in a set of numbers when the numbers are arranged in order. If there are two middle numbers, the median is the average of those both those numbers.

What are rounding decimals?

Rounding decimals means adjusting a number to a given place value. For example, rounding 3.186 to two decimal places gives 3.19. Note that last digit which is 6 is closer to 10 than 1 so the digit before it which is 8 move up a value to 9.


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.

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.

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



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