What is 3.21264 as a fraction?

Answer: 3.21264 as a fraction equals 321264/100000 or 20079/6250

Here is the solution for converting 3.21264 to a fraction:

Step 1:

First, we write 3.21264 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!

3.21264/1

  =  

3.21264 x 100000/1 x 100000

  =  

321264/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 321264 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 321264 are: 1  2  3  4  6  8  9  12  16  18  23  24  36  46  48  69  72  92  97  138  144  184  194  207  276  291  368  388  414  552  582  776  828  873  1104  1164  1552  1656  1746  2231  2328  3312  3492  4462  4656  6693  6984  8924  13386  13968  17848  20079  26772  35696  40158  53544  80316  107088  160632  321264 
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 321264 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.

321264/100000

  =  

321264 ÷ 16/100000 ÷ 16

  =  

20079/6250

Good work! We have just walked through the steps on how to represent 3.21264 as a fraction.