What is 1.81008 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.81008 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 1.81008 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.

1.81008 as a fraction equals 181008/100000 or 11313/6250

Now let's break down the steps for converting 1.81008 into a fraction.

Step 1:

First, we express 1.81008 as a fraction by placing it over 1:
1.81008/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.81008 x 100000/1 x 100000
  =  
181008/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 181008 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 181008 are: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 419 432 838 1257 1676 2514 3352 3771 5028 6704 7542 10056 11313 15084 20112 22626 30168 45252 60336 90504 181008
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 181008 and 100000 is: 16

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 16 in this case.
181008 ÷ 16/100000 ÷ 16
  =  
11313/6250


Great Work! We've just determined that 1.81008 as a fraction equals 181008/100000 or 11313/6250 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 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 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.

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 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 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.

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.


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 self-study courses for Algebra. We recommend Purple Math.

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