What is 0.89748 as a fraction?

Answer: 0.89748 as a fraction equals 89748/100000 or 22437/25000

Here is the solution for converting 0.89748 to a fraction:

Step 1:

First, we write 0.89748 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!

0.89748/1

  =  

0.89748 x 100000/1 x 100000

  =  

89748/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 89748 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 89748 are: 1  2  3  4  6  9  12  18  27  36  54  81  108  162  277  324  554  831  1108  1662  2493  3324  4986  7479  9972  14958  22437  29916  44874  89748 
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 89748 and 100000 that gives us a GCF value of: 4

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.

89748/100000

  =  

89748 ÷ 4/100000 ÷ 4

  =  

22437/25000

Good work! We have just walked through the steps on how to represent 0.89748 as a fraction.