What is 1.1214 as a fraction?

Answer: 1.1214 as a fraction equals 11214/10000 or 5607/5000

Here is the solution for converting 1.1214 to a fraction:

Step 1:

First, we write 1.1214 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!

1.1214/1

  =  

1.1214 x 10000/1 x 10000

  =  

11214/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 11214 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 11214 are: 1  2  3  6  7  9  14  18  21  42  63  89  126  178  267  534  623  801  1246  1602  1869  3738  5607  11214 
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 11214 and 10000 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.

11214/10000

  =  

11214 ÷ 2/10000 ÷ 2

  =  

5607/5000

Good work! We have just walked through the steps on how to represent 1.1214 as a fraction.