What is 0.52164 as a fraction?

Answer: 0.52164 as a fraction equals 52164/100000 or 13041/25000

Here is the solution for converting 0.52164 to a fraction:

Step 1:

First, we write 0.52164 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!

0.52164/1

  =  

0.52164 x 100000/1 x 100000

  =  

52164/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 52164 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 52164 are: 1  2  3  4  6  7  9  12  14  18  21  23  27  28  36  42  46  54  63  69  81  84  92  108  126  138  161  162  189  207  252  276  322  324  378  414  483  567  621  644  756  828  966  1134  1242  1449  1863  1932  2268  2484  2898  3726  4347  5796  7452  8694  13041  17388  26082  52164 
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 52164 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.

52164/100000

  =  

52164 ÷ 4/100000 ÷ 4

  =  

13041/25000

Good work! We have just walked through the steps on how to represent 0.52164 as a fraction.