What is 5.23684 as a fraction?

Answer: 5.23684 as a fraction equals 523684/100000 or 130921/25000

Here is the solution for converting 5.23684 to a fraction:

Step 1:

First, we write 5.23684 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!

5.23684/1

  =  

5.23684 x 100000/1 x 100000

  =  

523684/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 523684 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 523684 are: 1  2  4  7  14  28  59  118  236  317  413  634  826  1268  1652  2219  4438  8876  18703  37406  74812  130921  261842  523684 
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 523684 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.

523684/100000

  =  

523684 ÷ 4/100000 ÷ 4

  =  

130921/25000

Good work! We have just walked through the steps on how to represent 5.23684 as a fraction.