What is 5.8038 as a fraction?

Answer: 5.8038 as a fraction equals 58038/10000 or 29019/5000

Here is the solution for converting 5.8038 to a fraction:

Step 1:

First, we write 5.8038 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!

5.8038/1

  =  

5.8038 x 10000/1 x 10000

  =  

58038/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 58038 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 58038 are: 1  2  3  6  17  34  51  102  569  1138  1707  3414  9673  19346  29019  58038 
The factors of 10000 are: 1  2  4  5  8  10  16  20  25  40  50  80  100  125  200  250  400  500  625  1000  1250  2000  2500  5000  10000 
So for 58038 and 10000 that gives us a GCF value of: 2

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.

58038/10000

  =  

58038 ÷ 2/10000 ÷ 2

  =  

29019/5000

Good work! We have just walked through the steps on how to represent 5.8038 as a fraction.