What is 0.23616 as a fraction?

Answer: 0.23616 as a fraction equals 23616/100000 or 738/3125

Here is the solution for converting 0.23616 to a fraction:

Step 1:

First, we write 0.23616 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!

0.23616/1

  =  

0.23616 x 100000/1 x 100000

  =  

23616/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 23616 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 23616 are: 1  2  3  4  6  8  9  12  16  18  24  32  36  41  48  64  72  82  96  123  144  164  192  246  288  328  369  492  576  656  738  984  1312  1476  1968  2624  2952  3936  5904  7872  11808  23616 
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 23616 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.

23616/100000

  =  

23616 ÷ 32/100000 ÷ 32

  =  

738/3125

Good work! We have just walked through the steps on how to represent 0.23616 as a fraction.