What is 0.89712 as a fraction?

Answer: 0.89712 as a fraction equals 89712/100000 or 5607/6250

Here is the solution for converting 0.89712 to a fraction:

Step 1:

First, we write 0.89712 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!

0.89712/1

  =  

0.89712 x 100000/1 x 100000

  =  

89712/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 89712 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 89712 are: 1  2  3  4  6  7  8  9  12  14  16  18  21  24  28  36  42  48  56  63  72  84  89  112  126  144  168  178  252  267  336  356  504  534  623  712  801  1008  1068  1246  1424  1602  1869  2136  2492  3204  3738  4272  4984  5607  6408  7476  9968  11214  12816  14952  22428  29904  44856  89712 
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 89712 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.

89712/100000

  =  

89712 ÷ 16/100000 ÷ 16

  =  

5607/6250

Good work! We have just walked through the steps on how to represent 0.89712 as a fraction.