What is 0.21748 as a fraction?

Answer: 0.21748 as a fraction equals 21748/100000 or 5437/25000

Here is the solution for converting 0.21748 to a fraction:

Step 1:

First, we write 0.21748 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!

0.21748/1

  =  

0.21748 x 100000/1 x 100000

  =  

21748/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 21748 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 21748 are: 1  2  4  5437  10874  21748 
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 21748 and 100000 that gives us a GCF value of: 4

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.

21748/100000

  =  

21748 ÷ 4/100000 ÷ 4

  =  

5437/25000

Good work! We have just walked through the steps on how to represent 0.21748 as a fraction.