What is 4.38272 as a fraction?

Answer: 4.38272 as a fraction equals 438272/100000 or 13696/3125

Here is the solution for converting 4.38272 to a fraction:

Step 1:

First, we write 4.38272 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!

4.38272/1

  =  

4.38272 x 100000/1 x 100000

  =  

438272/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 438272 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 438272 are: 1  2  4  8  16  32  64  107  128  214  256  428  512  856  1024  1712  2048  3424  4096  6848  13696  27392  54784  109568  219136  438272 
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 438272 and 100000 that gives us a GCF value of: 32

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.

438272/100000

  =  

438272 ÷ 32/100000 ÷ 32

  =  

13696/3125

Good work! We have just walked through the steps on how to represent 4.38272 as a fraction.