What is 0.007006 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.007006 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 0.007006 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.

0.007006 as a fraction equals 7006/1000000 or 3503/500000

Now let's break down the steps for converting 0.007006 into a fraction.

Step 1:

First, we express 0.007006 as a fraction by placing it over 1:
0.007006/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.007006 x 1000000/1 x 1000000
  =  
7006/1000000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 7006 and 1000000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 7006 are: 1 2 31 62 113 226 3503 7006
The factors of 1000000 are: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 100000 125000 200000 250000 500000 1000000
The GCF of 7006 and 1000000 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.
7006 ÷ 2/1000000 ÷ 2
  =  
3503/500000


Great Work! We've just determined that 0.007006 as a fraction equals 7006/1000000 or 3503/500000 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.

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A proportion is an equation that states that two ratios are equal. For example, 1/2 = 2/4 shows a proportional relationship.

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The median is the mid value in a set of numbers when the numbers are arranged in order. If there are two middle numbers, the median is the average of those both those numbers.

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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.

The Art of Problem Solving provides courses tailored for school students including elementary, middle and high school.

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

The Fusion Academy provides one on one math lessons. Yes, one teach to one student for both middle and high school students.



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