What is 4.09744 as a fraction?

Answer: 4.09744 as a fraction equals 409744/100000 or 25609/6250

Here is the solution for converting 4.09744 to a fraction:

Step 1:

First, we write 4.09744 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!

4.09744/1

  =  

4.09744 x 100000/1 x 100000

  =  

409744/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 409744 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 409744 are: 1  2  4  8  16  25609  51218  102436  204872  409744 
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 409744 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.

409744/100000

  =  

409744 ÷ 16/100000 ÷ 16

  =  

25609/6250

Good work! We have just walked through the steps on how to represent 4.09744 as a fraction.