What is 2.10105 as a fraction?

Answer: 2.10105 as a fraction equals 210105/100000 or 42021/20000

Here is the solution for converting 2.10105 to a fraction:

Step 1:

First, we write 2.10105 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!

2.10105/1

  =  

2.10105 x 100000/1 x 100000

  =  

210105/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 210105 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 210105 are: 1  3  5  7  9  15  21  23  29  35  45  63  69  87  105  115  145  161  203  207  261  315  345  435  483  609  667  805  1015  1035  1305  1449  1827  2001  2415  3045  3335  4669  6003  7245  9135  10005  14007  23345  30015  42021  70035  210105 
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 210105 and 100000 that gives us a GCF value of: 5

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.

210105/100000

  =  

210105 ÷ 5/100000 ÷ 5

  =  

42021/20000

Good work! We have just walked through the steps on how to represent 2.10105 as a fraction.