What is 0.77748 as a fraction?

Answer: 0.77748 as a fraction equals 77748/100000 or 19437/25000

Here is the solution for converting 0.77748 to a fraction:

Step 1:

First, we write 0.77748 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!

0.77748/1

  =  

0.77748 x 100000/1 x 100000

  =  

77748/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 77748 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 77748 are: 1  2  3  4  6  11  12  19  22  31  33  38  44  57  62  66  76  93  114  124  132  186  209  228  341  372  418  589  627  682  836  1023  1178  1254  1364  1767  2046  2356  2508  3534  4092  6479  7068  12958  19437  25916  38874  77748 
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 77748 and 100000 that gives us a GCF value of: 4

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.

77748/100000

  =  

77748 ÷ 4/100000 ÷ 4

  =  

19437/25000

Good work! We have just walked through the steps on how to represent 0.77748 as a fraction.