What is 0.77328 as a fraction?

Answer: 0.77328 as a fraction equals 77328/100000 or 4833/6250

Here is the solution for converting 0.77328 to a fraction:

Step 1:

First, we write 0.77328 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!

0.77328/1

  =  

0.77328 x 100000/1 x 100000

  =  

77328/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 77328 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 77328 are: 1  2  3  4  6  8  9  12  16  18  24  27  36  48  54  72  108  144  179  216  358  432  537  716  1074  1432  1611  2148  2864  3222  4296  4833  6444  8592  9666  12888  19332  25776  38664  77328 
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 77328 and 100000 that gives us a GCF value of: 16

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.

77328/100000

  =  

77328 ÷ 16/100000 ÷ 16

  =  

4833/6250

Good work! We have just walked through the steps on how to represent 0.77328 as a fraction.