What is 2.27824 as a fraction?

Answer: 2.27824 as a fraction equals 227824/100000 or 14239/6250

Here is the solution for converting 2.27824 to a fraction:

Step 1:

First, we write 2.27824 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!

2.27824/1

  =  

2.27824 x 100000/1 x 100000

  =  

227824/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 227824 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 227824 are: 1  2  4  8  16  29  58  116  232  464  491  982  1964  3928  7856  14239  28478  56956  113912  227824 
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 227824 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.

227824/100000

  =  

227824 ÷ 16/100000 ÷ 16

  =  

14239/6250

Good work! We have just walked through the steps on how to represent 2.27824 as a fraction.