What is 4.41216 as a fraction?

Answer: 4.41216 as a fraction equals 441216/100000 or 13788/3125

Here is the solution for converting 4.41216 to a fraction:

Step 1:

First, we write 4.41216 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!

4.41216/1

  =  

4.41216 x 100000/1 x 100000

  =  

441216/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 441216 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 441216 are: 1  2  3  4  6  8  9  12  16  18  24  32  36  48  64  72  96  128  144  192  288  383  384  576  766  1149  1152  1532  2298  3064  3447  4596  6128  6894  9192  12256  13788  18384  24512  27576  36768  49024  55152  73536  110304  147072  220608  441216 
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 441216 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.

441216/100000

  =  

441216 ÷ 32/100000 ÷ 32

  =  

13788/3125

Good work! We have just walked through the steps on how to represent 4.41216 as a fraction.