What is 0.15000 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.15000 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 0.15000 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.

0.15000 as a fraction equals 15000/100000 or 3/20

Here’s a clear and detailed solution for converting 0.15000 to a fraction:

Step 1:

First, we write 0.15000 in fraction form:
0.15000/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.15000 x 100000/1 x 100000
  =  
15000/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 15000 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 15000 are: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 3000 3750 5000 7500 15000
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 15000 and 100000 is: 5000.

Step 4:

To simplify the fraction, we divide both the numerator and denominator by their greatest common factor (GCF), which is 5000 in this case.
15000 ÷ 5000/100000 ÷ 5000
  =  
3/20


Nice job! We've successfully determined that 0.15000 as a fraction equals 15000/100000 or 3/20 in its simplest form.

Convert any decimal to a fraction

Discover how different decimal numbers can be expressed as fractions.

Enter any decimal value:





© www.asafraction.net