What is 1.06986 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.06986 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 1.06986 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.

1.06986 as a fraction equals 106986/100000 or 53493/50000

Now let's break down the steps for converting 1.06986 into a fraction.

Step 1:

First, we express 1.06986 as a fraction by placing it over 1:
1.06986/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.06986 x 100000/1 x 100000
  =  
106986/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 106986 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 106986 are: 1 2 3 6 11 22 33 66 1621 3242 4863 9726 17831 35662 53493 106986
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 106986 and 100000 is: 2

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 2 in this case.
106986 ÷ 2/100000 ÷ 2
  =  
53493/50000


Great Work! We've just determined that 1.06986 as a fraction equals 106986/100000 or 53493/50000 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 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 percentage?

A percentage is a number as a fraction of 100. It is denoted using the '%' symbol. For example, 20% means 20 out of 100.

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 terminating decimal?

A terminating decimal is a decimal number that has a finite number of digits after the decimal point. For example, 0.35 and 3.5 are terminating decimals.

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.


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.

Desmos.com has a focus on equation, functions and visual graphs.

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

Tailored for college students Paul's Online Math Notes let's students independent study for their math classes. It's also a free service.



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