In 82%, there are a total of 82 cents out of 100 possible cents. Therefore, with these two numbers in mind, we can write the fraction is 82/100.
To find the simplified form, find the LCM (Least Common Multiple) of both numbers, and divide both numbers by that multiple.
Multiples of 82: 1, 2, 41, 82
Multiples of 100: 1, 2, 4, 5, 10, 10, 20, 25, 50, 100
Both numbers have the LCM of 2, so now you can divide 82 and 100 by 2 to get the following simplified fraction: 41/50
