What is 4.12335 as a fraction?

Answer: 4.12335 as a fraction equals 412335/100000 or 82467/20000

Here is the solution for converting 4.12335 to a fraction:

Step 1:

First, we write 4.12335 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!

4.12335/1

  =  

4.12335 x 100000/1 x 100000

  =  

412335/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 412335 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 412335 are: 1  3  5  7  9  11  15  17  21  33  35  45  49  51  55  63  77  85  99  105  119  147  153  165  187  231  245  255  315  357  385  441  495  539  561  595  693  735  765  833  935  1071  1155  1309  1617  1683  1785  2205  2499  2695  2805  3465  3927  4165  4851  5355  6545  7497  8085  8415  9163  11781  12495  19635  24255  27489  37485  45815  58905  82467  137445  412335 
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 412335 and 100000 that gives us a GCF value of: 5

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.

412335/100000

  =  

412335 ÷ 5/100000 ÷ 5

  =  

82467/20000

Good work! We have just walked through the steps on how to represent 4.12335 as a fraction.