What is 1.09465 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.09465 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 1.09465 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.

1.09465 as a fraction equals 109465/100000 or 21893/20000

Now let's break down the steps for converting 1.09465 into a fraction.

Step 1:

First, we express 1.09465 as a fraction by placing it over 1:
1.09465/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.09465 x 100000/1 x 100000
  =  
109465/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 109465 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 109465 are: 1 5 21893 109465
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 109465 and 100000 is: 5

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 5 in this case.
109465 ÷ 5/100000 ÷ 5
  =  
21893/20000


Great Work! We've just determined that 1.09465 as a fraction equals 109465/100000 or 21893/20000 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 mixed numbers?

A mixed number is made up of a whole number and a proper fraction.

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 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 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 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 decimal?

A decimal is a number that includes a decimal point, representing a fraction of a whole. For example, 0.5 represents 1/2.


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.

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

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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