What is 2.12355 as a fraction?

Answer: 2.12355 as a fraction equals 212355/100000 or 42471/20000

Here is the solution for converting 2.12355 to a fraction:

Step 1:

First, we write 2.12355 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!

2.12355/1

  =  

2.12355 x 100000/1 x 100000

  =  

212355/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 212355 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 212355 are: 1  3  5  9  11  13  15  27  33  39  45  55  65  99  117  121  135  143  165  195  297  351  363  429  495  585  605  715  1089  1287  1485  1573  1755  1815  2145  3267  3861  4719  5445  6435  7865  14157  16335  19305  23595  42471  70785  212355 
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 212355 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.

212355/100000

  =  

212355 ÷ 5/100000 ÷ 5

  =  

42471/20000

Good work! We have just walked through the steps on how to represent 2.12355 as a fraction.