What is 0.74085 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.74085 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 0.74085 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.

0.74085 as a fraction equals 74085/100000 or 14817/20000

Now let's break down the steps for converting 0.74085 into a fraction.

Step 1:

First, we express 0.74085 as a fraction by placing it over 1:
0.74085/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.74085 x 100000/1 x 100000
  =  
74085/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 74085 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 74085 are: 1 3 5 11 15 33 55 165 449 1347 2245 4939 6735 14817 24695 74085
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 74085 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.
74085 ÷ 5/100000 ÷ 5
  =  
14817/20000


Great Work! We've just determined that 0.74085 as a fraction equals 74085/100000 or 14817/20000 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.

Why is there a need to convert decimals to fractions anyway?

The U.S. is one of a few countries worldwide that still uses the Imperial system of measurement, which is a fractional measurement system, where items are measured in feet, inches, pounds, ounces, yards, and so on. The majority of the rest of the world uses the metric system, which is a decimal measurement system, where items are measured in cm, meters, grams, kilos, and so on.

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 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 an absolute value?

The absolute value of a number is its distance from zero. For example, the absolute value of -20 is 20.

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.

For early learners we recommend IXL Math. The math courses range from Pre-K to grade 12.

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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