What is 0.16464 as a fraction?

Answer: 0.16464 as a fraction equals 16464/100000 or 1029/6250

Here is the solution for converting 0.16464 to a fraction:

Step 1:

First, we write 0.16464 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!

0.16464/1

  =  

0.16464 x 100000/1 x 100000

  =  

16464/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 16464 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 16464 are: 1  2  3  4  6  7  8  12  14  16  21  24  28  42  48  49  56  84  98  112  147  168  196  294  336  343  392  588  686  784  1029  1176  1372  2058  2352  2744  4116  5488  8232  16464 
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 16464 and 100000 that gives us a GCF value of: 16

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.

16464/100000

  =  

16464 ÷ 16/100000 ÷ 16

  =  

1029/6250

Good work! We have just walked through the steps on how to represent 0.16464 as a fraction.