What is 1.39944 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.39944 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 1.39944 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.

1.39944 as a fraction equals 139944/100000 or 17493/12500

Now let's break down the steps for converting 1.39944 into a fraction.

Step 1:

First, we express 1.39944 as a fraction by placing it over 1:
1.39944/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.39944 x 100000/1 x 100000
  =  
139944/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 139944 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 139944 are: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 119 136 147 168 196 204 238 294 343 357 392 408 476 588 686 714 833 952 1029 1176 1372 1428 1666 2058 2499 2744 2856 3332 4116 4998 5831 6664 8232 9996 11662 17493 19992 23324 34986 46648 69972 139944
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 139944 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.
139944 ÷ 8/100000 ÷ 8
  =  
17493/12500


Great Work! We've just determined that 1.39944 as a fraction equals 139944/100000 or 17493/12500 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.

What are proper fractions?

Proper fractions are fractions where the numerator (the top number) is less than the denominator (the bottom number). Example 2/3

What are improper fractions?

Improper fractions are fractions where the numerator (the top number) is greater than or equal to the denominator (the bottom number). Example 3/2

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 irrational numbers?

An irrational number is a number that cannot be expressed as a fraction of two integers. Examples include π (pi) and √2 (the square root of 2).

What is a square root?

The square root of a number is a value when multiplied by itself, gives that number. For example, the square root of 9 is 3 because 3 × 3 = 9.

What is a decimal place?

A decimal place refers to the position of a digit to the right of the decimal point. For example, in 3.141, the digit 1 is in the thousandths place.


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.

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

Cliff Notes is tailored for independent study for the SAT, ACT, GMAT, GRE, and AP exams. It's a free service.



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