What is 0.10065 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.10065 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 0.10065 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.

0.10065 as a fraction equals 10065/100000 or 2013/20000

Here’s a clear and detailed solution for converting 0.10065 to a fraction:

Step 1:

First, we write 0.10065 in fraction form:
0.10065/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.10065 x 100000/1 x 100000
  =  
10065/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 10065 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 10065 are: 1 3 5 11 15 33 55 61 165 183 305 671 915 2013 3355 10065
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 10065 and 100000 is: 5.

Step 4:

To simplify the fraction, we divide both the numerator and denominator by their greatest common factor (GCF), which is 5 in this case.
10065 ÷ 5/100000 ÷ 5
  =  
2013/20000


Nice job! We've successfully determined that 0.10065 as a fraction equals 10065/100000 or 2013/20000 in its simplest form.

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