What is 2.24208 as a fraction?

Answer: 2.24208 as a fraction equals 224208/100000 or 14013/6250

Here is the solution for converting 2.24208 to a fraction:

Step 1:

First, we write 2.24208 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!

2.24208/1

  =  

2.24208 x 100000/1 x 100000

  =  

224208/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 224208 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 224208 are: 1  2  3  4  6  8  9  12  16  18  24  27  36  48  54  72  81  108  144  162  173  216  324  346  432  519  648  692  1038  1296  1384  1557  2076  2768  3114  4152  4671  6228  8304  9342  12456  14013  18684  24912  28026  37368  56052  74736  112104  224208 
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 224208 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.

224208/100000

  =  

224208 ÷ 16/100000 ÷ 16

  =  

14013/6250

Good work! We have just walked through the steps on how to represent 2.24208 as a fraction.