What is 0.006390 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.006390 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 0.006390 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.

0.006390 as a fraction equals 6390/1000000 or 639/100000

Now let's break down the steps for converting 0.006390 into a fraction.

Step 1:

First, we express 0.006390 as a fraction by placing it over 1:
0.006390/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.006390 x 1000000/1 x 1000000
  =  
6390/1000000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 6390 and 1000000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 6390 are: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 710 1065 1278 2130 3195 6390
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 6390 and 1000000 is: 10

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 10 in this case.
6390 ÷ 10/1000000 ÷ 10
  =  
639/100000


Great Work! We've just determined that 0.006390 as a fraction equals 6390/1000000 or 639/100000 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 are imperial fractions?

Yards, feet, and inches are all part of the Imperial measurement system, so a 1/4 of an inch is described as an imperial fraction.

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 are composite numbers?

Composite numbers are numbers that are greater than 1 and have more than two factors. For example, 6 is a composite number because it has factors 1, 2,3 and 6.

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).


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 personalized 1-1 lessons check out Preply.com.

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

Cliff Notes is tailored for independent study for the SAT, ACT, GMAT, GRE, and AP exams. It's a free service.



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