#1 2/3 - 1/6 + 5/9

#2
4 1/3 - 3 1/9 + 2 1/2

#3
Find the five-number summary of the following set of numbers. (Show the work and label your answers.)

335, 234, 187, 394, 237, 452, 300, 201, 303

We'll be glad to check your answers or explain any concepts you don't understand.

don't remember how to do any of this

Have no idea of what #3 is

When adding or subtracting fractions, you first must get a common denominator.

2/3 - 1/6 + 5/9 = 12/18 - 3/18 + 10/18 = 19/18 = 1 1/18

Please try the second one yourself.

I'm not sure about # 3. You'll probably get a response from another tutor if you post # 3 as a new question.

do I change the mixed number with a common denminator or just the fradction part first?

4 1/3 = 13/3 =78/18
3 1/9 = 28/9 =56/18
2 1/2 = 5/2 =45/18
78/18 -56/18 + 45/18 =67/18 =3 13/18

#1 To solve the expression 2/3 - 1/6 + 5/9, we need to find a common denominator for the fractions involved.

The common denominator for 2/3, 1/6, and 5/9 is 18.

Now, we can rewrite the fractions with the common denominator:

(2/3) * (6/6) = 12/18
(1/6) * (3/3) = 3/18
(5/9) * (2/2) = 10/18

Now, we can add the fractions together:

12/18 - 3/18 + 10/18 = 19/18

So, the answer to the expression 2/3 - 1/6 + 5/9 is 19/18.

#2 To solve the expression 4 1/3 - 3 1/9 + 2 1/2, we need to convert the mixed numbers into improper fractions.

4 1/3 = (4 * 3 + 1)/3 = 13/3
3 1/9 = (3 * 9 + 1)/9 = 28/9
2 1/2 = (2 * 2 + 1)/2 = 5/2

Now, we can subtract the fractions:

13/3 - 28/9 + 5/2

To find a common denominator for the fractions involved, we can use the least common denominator (LCD) method.

The LCD of 3, 9, and 2 is 18.

Now, we can rewrite the fractions with the common denominator:

(13/3) * (6/6) = 78/18
(28/9) * (2/2) = 56/18
(5/2) * (9/9) = 45/18

Now, we can subtract the fractions:

78/18 - 56/18 + 45/18 = 67/18

So, the answer to the expression 4 1/3 - 3 1/9 + 2 1/2 is 67/18.

#3 To find the five-number summary of the given set of numbers: 335, 234, 187, 394, 237, 452, 300, 201, 303, we need to sort the numbers in ascending order first.

The sorted numbers are: 187, 201, 234, 237, 300, 303, 335, 394, 452.

1. Minimum: The minimum value of the set is the smallest number, which is 187.
2. First Quartile (Q1): To find the first quartile, we need to calculate the median of the lower half of the sorted numbers. Since we have 9 numbers, the lower half consists of the first (9+1)/2 - 1 = 4 numbers. The median of the lower half is the average of the 2nd and 3rd numbers: (234 + 237)/2 = 235.5.
3. Median (Q2): The median is the middle value of the set. Since we have an odd number of values, the middle value is the 5th number, which is 300.
4. Third Quartile (Q3): To find the third quartile, we need to calculate the median of the upper half of the sorted numbers. The upper half also consists of 4 numbers. The median of the upper half is the average of the 5th and 6th numbers: (303 + 335)/2 = 319.
5. Maximum: The maximum value of the set is the largest number, which is 452.

The five-number summary for the given set of numbers is:
Minimum = 187
Q1 = 235.5
Median (Q2) = 300
Q3 = 319
Maximum = 452