What is 0.77826 as a fraction?

Answer: 0.77826 as a fraction equals 77826/100000 or 38913/50000

Here is the solution for converting 0.77826 to a fraction:

Step 1:

First, we write 0.77826 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!

0.77826/1

  =  

0.77826 x 100000/1 x 100000

  =  

77826/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 77826 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 77826 are: 1  2  3  6  7  14  17  21  34  42  51  102  109  119  218  238  327  357  654  714  763  1526  1853  2289  3706  4578  5559  11118  12971  25942  38913  77826 
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 77826 and 100000 that gives us a GCF value of: 2

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.

77826/100000

  =  

77826 ÷ 2/100000 ÷ 2

  =  

38913/50000

Good work! We have just walked through the steps on how to represent 0.77826 as a fraction.