What is 4.40704 as a fraction?

Answer: 4.40704 as a fraction equals 440704/100000 or 13772/3125

Here is the solution for converting 4.40704 to a fraction:

Step 1:

First, we write 4.40704 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!

4.40704/1

  =  

4.40704 x 100000/1 x 100000

  =  

440704/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 440704 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 440704 are: 1  2  4  8  11  16  22  32  44  64  88  128  176  313  352  626  704  1252  1408  2504  3443  5008  6886  10016  13772  20032  27544  40064  55088  110176  220352  440704 
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 440704 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.

440704/100000

  =  

440704 ÷ 32/100000 ÷ 32

  =  

13772/3125

Good work! We have just walked through the steps on how to represent 4.40704 as a fraction.