What is 0.38988 as a fraction?

Answer: 0.38988 as a fraction equals 38988/100000 or 9747/25000

Here is the solution for converting 0.38988 to a fraction:

Step 1:

First, we write 0.38988 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!

0.38988/1

  =  

0.38988 x 100000/1 x 100000

  =  

38988/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 38988 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 38988 are: 1  2  3  4  6  9  12  18  19  27  36  38  54  57  76  108  114  171  228  342  361  513  684  722  1026  1083  1444  2052  2166  3249  4332  6498  9747  12996  19494  38988 
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 38988 and 100000 that gives us a GCF value of: 4

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.

38988/100000

  =  

38988 ÷ 4/100000 ÷ 4

  =  

9747/25000

Good work! We have just walked through the steps on how to represent 0.38988 as a fraction.