What is 5.44068 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 5.44068 into a fraction.

Answer: 5.44068 as a fraction equals 544068/100000 or 136017/25000

Here is the solution for converting 5.44068 to a fraction:

Step 1:

First, we write 5.44068 as  
5.44068/1

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!
5.44068/1
  =  
5.44068 x 100000/1 x 100000
  =  
544068/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 544068 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 544068 are: 1  2  3  4  6  7  9  12  14  17  18  21  28  34  36  42  51  63  68  84  102  119  126  127  153  204  238  252  254  306  357  381  476  508  612  714  762  889  1071  1143  1428  1524  1778  2142  2159  2286  2667  3556  4284  4318  4572  5334  6477  8001  8636  10668  12954  15113  16002  19431  25908  30226  32004  38862  45339  60452  77724  90678  136017  181356  272034  544068 
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 544068 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.
544068/100000
  =  
544068 ÷ 4/100000 ÷ 4
  =  
136017/25000


Good work! We have just walked through the steps on how to represent 5.44068 as a fraction.

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