What is 2.1756 as a fraction?

Answer: 2.1756 as a fraction equals 21756/10000 or 5439/2500

Here is the solution for converting 2.1756 to a fraction:

Step 1:

First, we write 2.1756 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!

2.1756/1

  =  

2.1756 x 10000/1 x 10000

  =  

21756/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 21756 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 21756 are: 1  2  3  4  6  7  12  14  21  28  37  42  49  74  84  98  111  147  148  196  222  259  294  444  518  588  777  1036  1554  1813  3108  3626  5439  7252  10878  21756 
The factors of 10000 are: 1  2  4  5  8  10  16  20  25  40  50  80  100  125  200  250  400  500  625  1000  1250  2000  2500  5000  10000 
So for 21756 and 10000 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.

21756/10000

  =  

21756 ÷ 4/10000 ÷ 4

  =  

5439/2500

Good work! We have just walked through the steps on how to represent 2.1756 as a fraction.