What is 2.15172 as a fraction?

Numbers can be represented in a variety of ways including percentages, decimals, and fractions. The ability to convert any number from one format to another is an important math skill to have. These skills are typically thought in fifth grade math and require an understanding of place values and Greatest Common Factor (GCF).

In this article, we teach those skills step by step while demonstrating how to convert decimal 2.15172 into a fraction.

Answer: 2.15172 as a fraction equals 215172/100000 or 53793/25000

Here is the solution for converting 2.15172 to a fraction:

Step 1:

First, we write 2.15172 as  
2.15172/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point. Remember the numerator is the top part of the fraction and the denominator is the bottom part!
2.15172/1
  =  
2.15172 x 100000/1 x 100000
  =  
215172/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 215172 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 215172 are: 1  2  3  4  6  9  12  18  36  43  86  129  139  172  258  278  387  417  516  556  774  834  1251  1548  1668  2502  5004  5977  11954  17931  23908  35862  53793  71724  107586  215172 
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 
So for 215172 and 100000 that gives us a GCF value of: 4

Step 4:

For the last step we reduce the fraction. This just means writing the fraction in the simplest way. To do this we divide both the numerator and denominator by the GCF value we determined in step 3.
215172/100000
  =  
215172 ÷ 4/100000 ÷ 4
  =  
53793/25000


Good work! We have just walked through the steps on how to represent 2.15172 as a fraction.

Convert any decimal to a fraction

Learn how a variety of decimals are represented as a fraction.

Enter a decimal value:


Examples of decimal to fraction conversions

Practice makes perfect! Gain experience converting decimals into fractions with these examples:



© www.asafraction.net