What is 3.94944 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 3.94944 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 3.94944 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.

3.94944 as a fraction equals 394944/100000 or 12342/3125

Now let's break down the steps for converting 3.94944 into a fraction.

Step 1:

First, we express 3.94944 as a fraction by placing it over 1:
3.94944/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
3.94944 x 100000/1 x 100000
  =  
394944/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 394944 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 394944 are: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 121 132 136 176 187 192 204 242 264 272 352 363 374 408 484 528 544 561 704 726 748 816 968 1056 1088 1122 1452 1496 1632 1936 2057 2112 2244 2904 2992 3264 3872 4114 4488 5808 5984 6171 7744 8228 8976 11616 11968 12342 16456 17952 23232 24684 32912 35904 49368 65824 98736 131648 197472 394944
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 394944 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.
394944 ÷ 32/100000 ÷ 32
  =  
12342/3125


Great Work! We've just determined that 3.94944 as a fraction equals 394944/100000 or 12342/3125 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 imperial fractions?

Yards, feet, and inches are all part of the Imperial measurement system, so a 1/4 of an inch is described as an imperial fraction.

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 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 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 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.

What is a decimal as a percentage?

A decimal can be converted to a percentage by multiplying it by 100 and adding a percent sign. For example, 0.75 × 100 = 75%.


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.

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

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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