What is 11/18 − 1/3?
To find the difference between 11/18 and 1/3, we need to find a common denominator. In this case, the common denominator is 18.
Converting the fractions so that they have a denominator of 18:
11/18 can be written as (11/18) x (1/1) = (11/18) x (6/6) = 66/108
1/3 can be written as (1/3) x (6/6) = 6/18
Now that both fractions have a denominator of 18, we can subtract them:
66/108 - 6/18
To subtract the fractions, we need to have a common denominator: 108.
6/18 can be converted to have a denominator of 108 by multiplying both the numerator and denominator by 6: (6/18) x (6/6) = 36/108
Now we can subtract the fractions:
66/108 - 36/108 = (66 - 36)/108 = 30/108
The difference between 11/18 and 1/3 is 30/108. However, we can simplify this fraction by dividing the numerator and the denominator by their greatest common divisor, which is 6:
(30/6)/(108/6) = 5/18
So, 11/18 - 1/3 = 5/18.