What is 4.22172 as a fraction?

Answer: 4.22172 as a fraction equals 422172/100000 or 105543/25000

Here is the solution for converting 4.22172 to a fraction:

Step 1:

First, we write 4.22172 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!

4.22172/1

  =  

4.22172 x 100000/1 x 100000

  =  

422172/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 422172 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 422172 are: 1  2  3  4  6  9  12  18  27  36  54  81  108  162  324  1303  2606  3909  5212  7818  11727  15636  23454  35181  46908  70362  105543  140724  211086  422172 
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 422172 and 100000 that gives us a GCF value of: 4

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.

422172/100000

  =  

422172 ÷ 4/100000 ÷ 4

  =  

105543/25000

Good work! We have just walked through the steps on how to represent 4.22172 as a fraction.