What is 0.84072 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.84072 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 0.84072 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.

0.84072 as a fraction equals 84072/100000 or 10509/12500

Now let's break down the steps for converting 0.84072 into a fraction.

Step 1:

First, we express 0.84072 as a fraction by placing it over 1:
0.84072/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.84072 x 100000/1 x 100000
  =  
84072/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 84072 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 84072 are: 1 2 3 4 6 8 12 24 31 62 93 113 124 186 226 248 339 372 452 678 744 904 1356 2712 3503 7006 10509 14012 21018 28024 42036 84072
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 84072 and 100000 is: 8

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 8 in this case.
84072 ÷ 8/100000 ÷ 8
  =  
10509/12500


Great Work! We've just determined that 0.84072 as a fraction equals 84072/100000 or 10509/12500 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 does the Greatest Common Factor (GCF) mean?

The greatest common factor is also referred to as the highest common factor. In math, this refers to the greatest common divisor of two or more whole numbers (also known as integers). In simple terms, this is the biggest number that can divide evenly into two or more numbers. For example, the GCF for 4 and 8 is 4.

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 mean (average)?

The mean, or average, is calculated by adding all the numbers in a set and dividing by the total number of values. For example, the mean of 3, 4, and 5 is (3 + 4 + 5)/3 = 4.

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.

What is a decimal as a percentage?

A decimal can be converted to a percentage by multiplying it by 100 and adding a percent sign. For example, 0.75 × 100 = 75%.


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.

For personalized 1-1 lessons check out Preply.com.

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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