What is 0.90144 as a fraction?

Answer: 0.90144 as a fraction equals 90144/100000 or 2817/3125

Here is the solution for converting 0.90144 to a fraction:

Step 1:

First, we write 0.90144 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!

0.90144/1

  =  

0.90144 x 100000/1 x 100000

  =  

90144/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 90144 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 90144 are: 1  2  3  4  6  8  9  12  16  18  24  32  36  48  72  96  144  288  313  626  939  1252  1878  2504  2817  3756  5008  5634  7512  10016  11268  15024  22536  30048  45072  90144 
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 90144 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.

90144/100000

  =  

90144 ÷ 32/100000 ÷ 32

  =  

2817/3125

Good work! We have just walked through the steps on how to represent 0.90144 as a fraction.