What is 0.78408 as a fraction?

Answer: 0.78408 as a fraction equals 78408/100000 or 9801/12500

Here is the solution for converting 0.78408 to a fraction:

Step 1:

First, we write 0.78408 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!

0.78408/1

  =  

0.78408 x 100000/1 x 100000

  =  

78408/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 78408 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 78408 are: 1  2  3  4  6  8  9  11  12  18  22  24  27  33  36  44  54  66  72  81  88  99  108  121  132  162  198  216  242  264  297  324  363  396  484  594  648  726  792  891  968  1089  1188  1452  1782  2178  2376  2904  3267  3564  4356  6534  7128  8712  9801  13068  19602  26136  39204  78408 
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 78408 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.

78408/100000

  =  

78408 ÷ 8/100000 ÷ 8

  =  

9801/12500

Good work! We have just walked through the steps on how to represent 0.78408 as a fraction.