What is 2.13696 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 2.13696 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 2.13696 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.

2.13696 as a fraction equals 213696/100000 or 6678/3125

Now let's break down the steps for converting 2.13696 into a fraction.

Step 1:

First, we express 2.13696 as a fraction by placing it over 1:
2.13696/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
2.13696 x 100000/1 x 100000
  =  
213696/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 213696 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 213696 are: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 53 56 63 64 72 84 96 106 112 126 144 159 168 192 212 224 252 288 318 336 371 424 448 477 504 576 636 672 742 848 954 1008 1113 1272 1344 1484 1696 1908 2016 2226 2544 2968 3339 3392 3816 4032 4452 5088 5936 6678 7632 8904 10176 11872 13356 15264 17808 23744 26712 30528 35616 53424 71232 106848 213696
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 213696 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.
213696 ÷ 32/100000 ÷ 32
  =  
6678/3125


Great Work! We've just determined that 2.13696 as a fraction equals 213696/100000 or 6678/3125 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 whole numbers?

Whole numbers are numbers 0, 1, 2, 3, etc. Whole numbers do not have a decimal point or fractional part. Whole numbers are always positive. Negative numbers are not considered whole.

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

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 is an exponent?

An exponent refers to the number of times a number (the base) is multiplied by itself. For example, 2³ means 2 × 2 × 2 = 8.

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.


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 a structured learning approach with video lessons try the Khan Academy.

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



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