Find the difference and simplify. Make sure to show all your work. 11−3 1/3 (2 points)
To find the difference between 11 and 3 1/3, we need to subtract 3 1/3 from 11.
First, let's convert 11 to a fraction with the same denominator as 3 1/3, which is 3.
11 can be written as 33/3 because 11 divided by 1 is still 11, and dividing 33 by 3 gives us 11.
Now we have:
33/3 - 3 1/3
To subtract the fractions, we need to have the same denominator.
So, let's convert 3 to a fraction with the same denominator as 3/3, which is 3.
3 can be written as 9/3 because 3 divided by 1 is still 3, and dividing 9 by 3 gives us 3.
Now we have:
33/3 - 9/3 - 1/3
To subtract the fractions, we subtract the numerators and keep the same denominator:
(33 - 9 - 1)/3
Simplifying the numerator gives us:
23/3
So, the difference between 11 and 3 1/3 is 23/3.