What is 2.17984 as a fraction?

Answer: 2.17984 as a fraction equals 217984/100000 or 6812/3125

Here is the solution for converting 2.17984 to a fraction:

Step 1:

First, we write 2.17984 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!

2.17984/1

  =  

2.17984 x 100000/1 x 100000

  =  

217984/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 217984 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 217984 are: 1  2  4  8  13  16  26  32  52  64  104  128  131  208  262  416  524  832  1048  1664  1703  2096  3406  4192  6812  8384  13624  16768  27248  54496  108992  217984 
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 217984 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.

217984/100000

  =  

217984 ÷ 32/100000 ÷ 32

  =  

6812/3125

Good work! We have just walked through the steps on how to represent 2.17984 as a fraction.