What is 4.09836 as a fraction?

Answer: 4.09836 as a fraction equals 409836/100000 or 102459/25000

Here is the solution for converting 4.09836 to a fraction:

Step 1:

First, we write 4.09836 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!

4.09836/1

  =  

4.09836 x 100000/1 x 100000

  =  

409836/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 409836 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 409836 are: 1  2  3  4  6  7  12  14  17  21  28  34  41  42  49  51  68  82  84  98  102  119  123  147  164  196  204  238  246  287  294  357  476  492  574  588  697  714  833  861  1148  1394  1428  1666  1722  2009  2091  2499  2788  3332  3444  4018  4182  4879  4998  6027  8036  8364  9758  9996  12054  14637  19516  24108  29274  34153  58548  68306  102459  136612  204918  409836 
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 409836 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.

409836/100000

  =  

409836 ÷ 4/100000 ÷ 4

  =  

102459/25000

Good work! We have just walked through the steps on how to represent 4.09836 as a fraction.