What is 2.0202 as a fraction?

Answer: 2.0202 as a fraction equals 20202/10000 or 10101/5000

Here is the solution for converting 2.0202 to a fraction:

Step 1:

First, we write 2.0202 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!

2.0202/1

  =  

2.0202 x 10000/1 x 10000

  =  

20202/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 20202 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 20202 are: 1  2  3  6  7  13  14  21  26  37  39  42  74  78  91  111  182  222  259  273  481  518  546  777  962  1443  1554  2886  3367  6734  10101  20202 
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 20202 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.

20202/10000

  =  

20202 ÷ 2/10000 ÷ 2

  =  

10101/5000

Good work! We have just walked through the steps on how to represent 2.0202 as a fraction.