What is 0.72468 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 0.72468 into a fraction.

Answer: 0.72468 as a fraction equals 72468/100000 or 18117/25000

Here is the solution for converting 0.72468 to a fraction:

Step 1:

First, we write 0.72468 as  
0.72468/1

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!
0.72468/1
  =  
0.72468 x 100000/1 x 100000
  =  
72468/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 72468 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 72468 are: 1  2  3  4  6  9  11  12  18  22  27  33  36  44  54  61  66  99  108  122  132  183  198  244  297  366  396  549  594  671  732  1098  1188  1342  1647  2013  2196  2684  3294  4026  6039  6588  8052  12078  18117  24156  36234  72468 
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 72468 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.
72468/100000
  =  
72468 ÷ 4/100000 ÷ 4
  =  
18117/25000


Good work! We have just walked through the steps on how to represent 0.72468 as a fraction.

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