Probability and fraction

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ProbabilityLesson6AddingSubtractingMixedNumbers.pdf

Probability Lesson 6

Learning Target: Students will add and subtract mixed numbers and fractions. Students will also

review previous taught concepts.

Part 1: Write each mixed number as an improper fraction.

a. 2 1

4

b. 1 3

8

c. 3 2

5

d. 2 5

6

Part 2: Write each improper fraction as a mixed number using long division.

a. 7

4

b. 78

8

c. 27

5

d. 38

12

Part 3: Adding Mixed Numbers and Fractions

a. 4 2

5 + 1

1

3

b. 3 2

3 + 1

3

4

c. 1 1

8 +

5

12

d. 14 7

9 +

5

18

Part 4: Subtracting Mixed Numbers and Fractions

a. 4 2

5 − 1

1

3

b. 3 2

3 − 1

1

4

c. 18 1

6 − 2

7

12

d. 16 3

5 −

14

15

Part 5: Review Probability of an Event

1. Write your answer as a fraction, as a decimal, and as a percent.Nicole has a machine

that will produce a number from 1 through 50 when she pushes a button. If she pushes the button, what is…

a. P(multiple of 10)?

Likelihood?

b. P(not 100)?

Likelihood?

c. P(not a multiple of 4)?

Likelihood?

d. P(one-digit number)?

Likelihood?

Part 6: Find the missing piece

1. Mario ordered a pizza for dinner. When it arrived, Mario quickly ate 1

8 of the

pizza. While Mario was getting napkins, his pet poodle ate 1

3 of the pizza.

a. Draw a model of the pizza that shows the portion that has been eaten.

b. Write a numerical expression to show the fraction of the pizza that is left.

c. About what percent of the pizza is left?

Part 7: Review Histograms and Box-Whisker Plots

1. Eight hundred insects were weighed and the resulting measurements in milligrams are

summarized in the box plot below.

a. What is the median?

b. What is the range?

c. What is the Interquartile range?

d. What percent of the insects weighed more than 126 milligrams?

e. What percent of insects weighed between 114 to 126 milligrams?

BONUS: How many insects weighed between 114 to 126 milligrams?

2. Based on the histogram, what percent of players pitched between 60 to 65 mph?

Probability Lesson 6 Homework

1. Thomas has a bag with 7 green marbles, 5 blue marbles, and 4 red marbles. For each part below, if the marble selected is replaced before the next marble is drawn (picked), find the probability for the given draw (pick). Write your answer as a fraction, as a decimal, and as a percent.

a. A red marble?

Likelihood?

b. A green marble?

Likelihood?

c. A red OR a green marble?

Likelihood?

d. An orange marble?

Likelihood?

2. Add or subtract the following mixed numbers and fractions.

a. 7 5

8 + 2

9

16 b. 2

7

8 + 6

1

6 c. 8 − 6

2

5

3. Complete the Equivalent forms chart.

Fraction Decimal Percent Picture or Words

a. 9

5

b. 0. 24

c. 250%

d. 5

6

4. Answer the probability questions below.

a. A coin is flipped 80 times. It lands tails 47 times. What is the P(heads)?

b. A bag contains purple and orange marbles. Sam randomly takes out one marble and then returns it to the bag. He does this 18 times, and 12 of those times an orange marble is pulled out. What is P(green)?

c. Sarah pulls a card from a standard deck and then replaces it. She does this 30 times, and 40% of the time it is hearts. What is the probability that she does not get hearts?

5. Add or subtract the following fractions.

a. 3

4 −

2

3

b. 9

14 −

2

7

c. 3

12 +

5

8

d. 5

6 +

1

8