What is 0.78405 as a fraction?

Answer: 0.78405 as a fraction equals 78405/100000 or 15681/20000

Here is the solution for converting 0.78405 to a fraction:

Step 1:

First, we write 0.78405 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!

0.78405/1

  =  

0.78405 x 100000/1 x 100000

  =  

78405/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 78405 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 78405 are: 1  3  5  15  5227  15681  26135  78405 
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 78405 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.

78405/100000

  =  

78405 ÷ 5/100000 ÷ 5

  =  

15681/20000

Good work! We have just walked through the steps on how to represent 0.78405 as a fraction.