What is 0.16704 as a fraction?

Answer: 0.16704 as a fraction equals 16704/100000 or 522/3125

Here is the solution for converting 0.16704 to a fraction:

Step 1:

First, we write 0.16704 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!

0.16704/1

  =  

0.16704 x 100000/1 x 100000

  =  

16704/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 16704 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 16704 are: 1  2  3  4  6  8  9  12  16  18  24  29  32  36  48  58  64  72  87  96  116  144  174  192  232  261  288  348  464  522  576  696  928  1044  1392  1856  2088  2784  4176  5568  8352  16704 
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 16704 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.

16704/100000

  =  

16704 ÷ 32/100000 ÷ 32

  =  

522/3125

Good work! We have just walked through the steps on how to represent 0.16704 as a fraction.