What is 0.76384 as a fraction?

Answer: 0.76384 as a fraction equals 76384/100000 or 2387/3125

Here is the solution for converting 0.76384 to a fraction:

Step 1:

First, we write 0.76384 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!

0.76384/1

  =  

0.76384 x 100000/1 x 100000

  =  

76384/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 76384 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 76384 are: 1  2  4  7  8  11  14  16  22  28  31  32  44  56  62  77  88  112  124  154  176  217  224  248  308  341  352  434  496  616  682  868  992  1232  1364  1736  2387  2464  2728  3472  4774  5456  6944  9548  10912  19096  38192  76384 
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 76384 and 100000 that gives us a GCF value of: 32

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.

76384/100000

  =  

76384 ÷ 32/100000 ÷ 32

  =  

2387/3125

Good work! We have just walked through the steps on how to represent 0.76384 as a fraction.