What is 0.41208 as a fraction?

Answer: 0.41208 as a fraction equals 41208/100000 or 5151/12500

Here is the solution for converting 0.41208 to a fraction:

Step 1:

First, we write 0.41208 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!

0.41208/1

  =  

0.41208 x 100000/1 x 100000

  =  

41208/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 41208 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 41208 are: 1  2  3  4  6  8  12  17  24  34  51  68  101  102  136  202  204  303  404  408  606  808  1212  1717  2424  3434  5151  6868  10302  13736  20604  41208 
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 41208 and 100000 that gives us a GCF value of: 8

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.

41208/100000

  =  

41208 ÷ 8/100000 ÷ 8

  =  

5151/12500

Good work! We have just walked through the steps on how to represent 0.41208 as a fraction.