What is 0.77714 as a fraction?

Answer: 0.77714 as a fraction equals 77714/100000 or 38857/50000

Here is the solution for converting 0.77714 to a fraction:

Step 1:

First, we write 0.77714 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!

0.77714/1

  =  

0.77714 x 100000/1 x 100000

  =  

77714/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 77714 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 77714 are: 1  2  7  13  14  26  49  61  91  98  122  182  427  637  793  854  1274  1586  2989  5551  5978  11102  38857  77714 
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 77714 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.

77714/100000

  =  

77714 ÷ 2/100000 ÷ 2

  =  

38857/50000

Good work! We have just walked through the steps on how to represent 0.77714 as a fraction.