What is 0.33782 as a fraction?

Answer: 0.33782 as a fraction equals 33782/100000 or 16891/50000

Here is the solution for converting 0.33782 to a fraction:

Step 1:

First, we write 0.33782 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!

0.33782/1

  =  

0.33782 x 100000/1 x 100000

  =  

33782/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 33782 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 33782 are: 1  2  7  14  19  38  127  133  254  266  889  1778  2413  4826  16891  33782 
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 33782 and 100000 that gives us a GCF value of: 2

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.

33782/100000

  =  

33782 ÷ 2/100000 ÷ 2

  =  

16891/50000

Good work! We have just walked through the steps on how to represent 0.33782 as a fraction.