What is 0.82008 as a fraction?

Answer: 0.82008 as a fraction equals 82008/100000 or 10251/12500

Here is the solution for converting 0.82008 to a fraction:

Step 1:

First, we write 0.82008 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!

0.82008/1

  =  

0.82008 x 100000/1 x 100000

  =  

82008/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 82008 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 82008 are: 1  2  3  4  6  8  9  12  17  18  24  34  36  51  67  68  72  102  134  136  153  201  204  268  306  402  408  536  603  612  804  1139  1206  1224  1608  2278  2412  3417  4556  4824  6834  9112  10251  13668  20502  27336  41004  82008 
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 82008 and 100000 that gives us a GCF value of: 8

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.

82008/100000

  =  

82008 ÷ 8/100000 ÷ 8

  =  

10251/12500

Good work! We have just walked through the steps on how to represent 0.82008 as a fraction.