What is 0.21504 as a fraction?

Answer: 0.21504 as a fraction equals 21504/100000 or 672/3125

Here is the solution for converting 0.21504 to a fraction:

Step 1:

First, we write 0.21504 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!

0.21504/1

  =  

0.21504 x 100000/1 x 100000

  =  

21504/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 21504 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 21504 are: 1  2  3  4  6  7  8  12  14  16  21  24  28  32  42  48  56  64  84  96  112  128  168  192  224  256  336  384  448  512  672  768  896  1024  1344  1536  1792  2688  3072  3584  5376  7168  10752  21504 
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 21504 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.

21504/100000

  =  

21504 ÷ 32/100000 ÷ 32

  =  

672/3125

Good work! We have just walked through the steps on how to represent 0.21504 as a fraction.