What is 3.78488 as a fraction?

Answer: 3.78488 as a fraction equals 378488/100000 or 47311/12500

Here is the solution for converting 3.78488 to a fraction:

Step 1:

First, we write 3.78488 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!

3.78488/1

  =  

3.78488 x 100000/1 x 100000

  =  

378488/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 378488 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 378488 are: 1  2  4  8  11  17  22  23  34  44  46  68  88  92  121  136  184  187  242  253  374  391  484  506  748  782  968  1012  1496  1564  2024  2057  2783  3128  4114  4301  5566  8228  8602  11132  16456  17204  22264  34408  47311  94622  189244  378488 
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 378488 and 100000 that gives us a GCF value of: 8

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.

378488/100000

  =  

378488 ÷ 8/100000 ÷ 8

  =  

47311/12500

Good work! We have just walked through the steps on how to represent 3.78488 as a fraction.