What is 3.90345 as a fraction?

Answer: 3.90345 as a fraction equals 390345/100000 or 78069/20000

Here is the solution for converting 3.90345 to a fraction:

Step 1:

First, we write 3.90345 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!

3.90345/1

  =  

3.90345 x 100000/1 x 100000

  =  

390345/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 390345 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 390345 are: 1  3  5  15  53  159  265  491  795  1473  2455  7365  26023  78069  130115  390345 
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 390345 and 100000 that gives us a GCF value of: 5

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.

390345/100000

  =  

390345 ÷ 5/100000 ÷ 5

  =  

78069/20000

Good work! We have just walked through the steps on how to represent 3.90345 as a fraction.