What is 0.78624 as a fraction?

Answer: 0.78624 as a fraction equals 78624/100000 or 2457/3125

Here is the solution for converting 0.78624 to a fraction:

Step 1:

First, we write 0.78624 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!

0.78624/1

  =  

0.78624 x 100000/1 x 100000

  =  

78624/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 78624 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 78624 are: 1  2  3  4  6  7  8  9  12  13  14  16  18  21  24  26  27  28  32  36  39  42  48  52  54  56  63  72  78  84  91  96  104  108  112  117  126  144  156  168  182  189  208  216  224  234  252  273  288  312  336  351  364  378  416  432  468  504  546  624  672  702  728  756  819  864  936  1008  1092  1248  1404  1456  1512  1638  1872  2016  2184  2457  2808  2912  3024  3276  3744  4368  4914  5616  6048  6552  8736  9828  11232  13104  19656  26208  39312  78624 
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 78624 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.

78624/100000

  =  

78624 ÷ 32/100000 ÷ 32

  =  

2457/3125

Good work! We have just walked through the steps on how to represent 0.78624 as a fraction.