Reducing Fractions
Probability Equations
Tree Diagrams
Counting Principal
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100
Reduce the following fraction to simplest form:

10/15

2/3
100

1. Find the probability of spinning a number 8 or less on a spinner with 14 equal sections numbered 1 – 14

4/7
100

Lucas sells bikes at his motor shop. He has bikes in 3 colors: Pink, White, and blue. The Pink and white bikes come with tassels or a horn at the front. The Blue bike comes with a hanging basket. Draw a tree diagram that represents Lucas’s bike’s.

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100

A school cafeteria has 5 options for main courses, 6 appetizer choices, and 5 dessert choices. How many different meals, made up of an appetizer, main course, and dessert, are there?


150
100
Solve:


7x3

21
200
Reduce the following fraction to simplest form:

11/22

1/11
200

2. A bag contains a total of 30 candies. There are 10 cookies, 8 gummies, 3 lollipops, and 9 gobstoppers. You draw 1 candy at random from the bag. What is the probability of choosing cookies or gummies?

3/5

200

Mom’s water ice sells 4 popular flavors of water ice: chocolate, cherry, mochaccino, and watermelon. For the chocolate and cherry flavors you can either choose whip cream or ice cream on top. For the Watermelon flavor you can choose graham crackers or sprinkles. Show the probability through a tree diagram.


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200

The agent has 10 vacation destinations available in 5 price ranges, with either basic or deluxe dining plans. How many combinations are there to choose from?

50
200
Distribute and Solve:


3(4m + 6) = 10

m = -2/3

300
Reduce the following fraction to simplest form:

25/225

1/25
300

Each letter in the word HirowskiBoerner is written on a separate piece of paper and placed into a basket.  

What is the probability of pulling an “R” out of the basket? 


1/5
300

Larry owns a puppy shop. He has 5 different breeds of dogs: pugs, retrievers, labs, greyhounds, and terroirs. The retrievers and greyhounds come in blonde and brown. The terroirs come in black, white, and brown and the labs come in blonde or chocolate.  

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300

NASA scientists classified the extra-solar planets into 4 different sizes with 3 different atmosphere types and 7 temperature ranges. How many different planet types are there?

84
300
2/3 + 4/5 =
22/ 15
400
Reduce the following fraction to simplest form:

40/100

2/5
400
A penny is flipped once. What is the probability it lands on tails?
1/2
400
Miss. Musoleno has 15 people in her math class.  10 are boys and 5 are girls.  OF the 5 girls, they either have blonde or black hair.  The boys either have braces, or retainers.  Draw a tree diagram showing the probability. 
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400

 An online company is offering a Mothers Day special. Pick one movie from 4 choices, one restaurant from 6 choices, and 1 box of chocolate from 5 choices. How many possible Mother’s Day options are there?

120
400
Solve for x:


12x - 3 = 21

x = 2
500
reduce the following fractions to the simplest form:

15/75

1/5
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