What is 0.72105 as a fraction?

Answer: 0.72105 as a fraction equals 72105/100000 or 14421/20000

Here is the solution for converting 0.72105 to a fraction:

Step 1:

First, we write 0.72105 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!

0.72105/1

  =  

0.72105 x 100000/1 x 100000

  =  

72105/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 72105 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 72105 are: 1  3  5  11  15  19  23  33  55  57  69  95  115  165  209  253  285  345  437  627  759  1045  1265  1311  2185  3135  3795  4807  6555  14421  24035  72105 
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 72105 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.

72105/100000

  =  

72105 ÷ 5/100000 ÷ 5

  =  

14421/20000

Good work! We have just walked through the steps on how to represent 0.72105 as a fraction.