What is 4.13472 as a fraction?

Answer: 4.13472 as a fraction equals 413472/100000 or 12921/3125

Here is the solution for converting 4.13472 to a fraction:

Step 1:

First, we write 4.13472 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!

4.13472/1

  =  

4.13472 x 100000/1 x 100000

  =  

413472/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 413472 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 413472 are: 1  2  3  4  6  8  12  16  24  32  48  59  73  96  118  146  177  219  236  292  354  438  472  584  708  876  944  1168  1416  1752  1888  2336  2832  3504  4307  5664  7008  8614  12921  17228  25842  34456  51684  68912  103368  137824  206736  413472 
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 413472 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.

413472/100000

  =  

413472 ÷ 32/100000 ÷ 32

  =  

12921/3125

Good work! We have just walked through the steps on how to represent 4.13472 as a fraction.