What is 4.69744 as a fraction?

Answer: 4.69744 as a fraction equals 469744/100000 or 29359/6250

Here is the solution for converting 4.69744 to a fraction:

Step 1:

First, we write 4.69744 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!

4.69744/1

  =  

4.69744 x 100000/1 x 100000

  =  

469744/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 469744 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 469744 are: 1  2  4  8  11  16  17  22  34  44  68  88  136  157  176  187  272  314  374  628  748  1256  1496  1727  2512  2669  2992  3454  5338  6908  10676  13816  21352  27632  29359  42704  58718  117436  234872  469744 
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 469744 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.

469744/100000

  =  

469744 ÷ 16/100000 ÷ 16

  =  

29359/6250

Good work! We have just walked through the steps on how to represent 4.69744 as a fraction.