What is 5.40816 as a fraction?

Answer: 5.40816 as a fraction equals 540816/100000 or 33801/6250

Here is the solution for converting 5.40816 to a fraction:

Step 1:

First, we write 5.40816 as  

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!

5.40816/1

  =  

5.40816 x 100000/1 x 100000

  =  

540816/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 540816 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 540816 are: 1  2  3  4  6  8  12  16  19  24  38  48  57  76  114  152  228  304  456  593  912  1186  1779  2372  3558  4744  7116  9488  11267  14232  22534  28464  33801  45068  67602  90136  135204  180272  270408  540816 
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 540816 and 100000 that gives us a GCF value of: 16

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.

540816/100000

  =  

540816 ÷ 16/100000 ÷ 16

  =  

33801/6250

Good work! We have just walked through the steps on how to represent 5.40816 as a fraction.