What is 2.00725 as a fraction?

Answer: 2.00725 as a fraction equals 200725/100000 or 8029/4000

Here is the solution for converting 2.00725 to a fraction:

Step 1:

First, we write 2.00725 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!

2.00725/1

  =  

2.00725 x 100000/1 x 100000

  =  

200725/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 200725 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 200725 are: 1  5  7  25  31  35  37  155  175  185  217  259  775  925  1085  1147  1295  5425  5735  6475  8029  28675  40145  200725 
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 200725 and 100000 that gives us a GCF value of: 25

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.

200725/100000

  =  

200725 ÷ 25/100000 ÷ 25

  =  

8029/4000

Good work! We have just walked through the steps on how to represent 2.00725 as a fraction.