What is 0.86688 as a fraction?

Answer: 0.86688 as a fraction equals 86688/100000 or 2709/3125

Here is the solution for converting 0.86688 to a fraction:

Step 1:

First, we write 0.86688 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!

0.86688/1

  =  

0.86688 x 100000/1 x 100000

  =  

86688/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 86688 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 86688 are: 1  2  3  4  6  7  8  9  12  14  16  18  21  24  28  32  36  42  43  48  56  63  72  84  86  96  112  126  129  144  168  172  224  252  258  288  301  336  344  387  504  516  602  672  688  774  903  1008  1032  1204  1376  1548  1806  2016  2064  2408  2709  3096  3612  4128  4816  5418  6192  7224  9632  10836  12384  14448  21672  28896  43344  86688 
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 86688 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.

86688/100000

  =  

86688 ÷ 32/100000 ÷ 32

  =  

2709/3125

Good work! We have just walked through the steps on how to represent 0.86688 as a fraction.