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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Examples of converting decimals to fractions

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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 whole numbers?

Whole numbers are numbers 0, 1, 2, 3, etc. Whole numbers do not have a decimal point or fractional part. Whole numbers are always positive. Negative numbers are not considered whole.

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 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 decimal?

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

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..

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 fun game based learning try Prodigy Math.

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

For a UK based curriculum the BBC.co.uk provides a useful classroom aid to math lessons.



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