What is 1.39008 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.39008 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 1.39008 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.

1.39008 as a fraction equals 139008/100000 or 4344/3125

Now let's break down the steps for converting 1.39008 into a fraction.

Step 1:

First, we express 1.39008 as a fraction by placing it over 1:
1.39008/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.39008 x 100000/1 x 100000
  =  
139008/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 139008 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 139008 are: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 181 192 256 362 384 543 724 768 1086 1448 2172 2896 4344 5792 8688 11584 17376 23168 34752 46336 69504 139008
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 139008 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.
139008 ÷ 32/100000 ÷ 32
  =  
4344/3125


Great Work! We've just determined that 1.39008 as a fraction equals 139008/100000 or 4344/3125 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 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.

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 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 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 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 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.

Build math skills with Brilliant.org interactive problem solving puzzles designed for adults. Algebra, geometry, logic, and probability are covered with video guides.

For personalized 1-1 lessons check out Preply.com.

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



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