What is 3.83152 as a fraction?

Answer: 3.83152 as a fraction equals 383152/100000 or 23947/6250

Here is the solution for converting 3.83152 to a fraction:

Step 1:

First, we write 3.83152 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!

3.83152/1

  =  

3.83152 x 100000/1 x 100000

  =  

383152/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 383152 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 383152 are: 1  2  4  7  8  11  14  16  22  28  44  56  77  88  112  154  176  308  311  616  622  1232  1244  2177  2488  3421  4354  4976  6842  8708  13684  17416  23947  27368  34832  47894  54736  95788  191576  383152 
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 383152 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.

383152/100000

  =  

383152 ÷ 16/100000 ÷ 16

  =  

23947/6250

Good work! We have just walked through the steps on how to represent 3.83152 as a fraction.