What is 1.09142 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.09142 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 1.09142 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.

1.09142 as a fraction equals 109142/100000 or 54571/50000

Now let's break down the steps for converting 1.09142 into a fraction.

Step 1:

First, we express 1.09142 as a fraction by placing it over 1:
1.09142/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.09142 x 100000/1 x 100000
  =  
109142/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 109142 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 109142 are: 1 2 11 22 41 82 121 242 451 902 1331 2662 4961 9922 54571 109142
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 109142 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.
109142 ÷ 2/100000 ÷ 2
  =  
54571/50000


Great Work! We've just determined that 1.09142 as a fraction equals 109142/100000 or 54571/50000 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 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 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 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 are rational numbers?

A rational number is any number that can be expressed as the fraction of two integers, such as 3/4, -5/2, or 0.75.

How do you convert a decimal to a fraction?

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 10, 100, or 1000 depending on the decimal places, then simplify. For example, 0.75 = 75/100 = 3/4 Reference our decimal to fraction converter page for a detailed breakdown..


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

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

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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