What is 0.76944 as a fraction?

Answer: 0.76944 as a fraction equals 76944/100000 or 4809/6250

Here is the solution for converting 0.76944 to a fraction:

Step 1:

First, we write 0.76944 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!

0.76944/1

  =  

0.76944 x 100000/1 x 100000

  =  

76944/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 76944 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 76944 are: 1  2  3  4  6  7  8  12  14  16  21  24  28  42  48  56  84  112  168  229  336  458  687  916  1374  1603  1832  2748  3206  3664  4809  5496  6412  9618  10992  12824  19236  25648  38472  76944 
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 76944 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.

76944/100000

  =  

76944 ÷ 16/100000 ÷ 16

  =  

4809/6250

Good work! We have just walked through the steps on how to represent 0.76944 as a fraction.