What is 0.72256 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 0.72256 into a fraction.

Answer: 0.72256 as a fraction equals 72256/100000 or 2258/3125

Here is the solution for converting 0.72256 to a fraction:

Step 1:

First, we write 0.72256 as  
0.72256/1

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!
0.72256/1
  =  
0.72256 x 100000/1 x 100000
  =  
72256/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 72256 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 72256 are: 1  2  4  8  16  32  64  1129  2258  4516  9032  18064  36128  72256 
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 72256 and 100000 that gives us a GCF value of: 32

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.
72256/100000
  =  
72256 ÷ 32/100000 ÷ 32
  =  
2258/3125


Good work! We have just walked through the steps on how to represent 0.72256 as a fraction.

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