What is 0.90675 as a fraction?

Answer: 0.90675 as a fraction equals 90675/100000 or 3627/4000

Here is the solution for converting 0.90675 to a fraction:

Step 1:

First, we write 0.90675 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!

0.90675/1

  =  

0.90675 x 100000/1 x 100000

  =  

90675/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 90675 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 90675 are: 1  3  5  9  13  15  25  31  39  45  65  75  93  117  155  195  225  279  325  403  465  585  775  975  1209  1395  2015  2325  2925  3627  6045  6975  10075  18135  30225  90675 
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 90675 and 100000 that gives us a GCF value of: 25

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.

90675/100000

  =  

90675 ÷ 25/100000 ÷ 25

  =  

3627/4000

Good work! We have just walked through the steps on how to represent 0.90675 as a fraction.