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Chapter 4: Multiply and Divide Fractions; Mid-Chapter Review

The Johanssens are traveling across the country to visit relatives. Mr. Johanssen set the cruise control and drove at a constant speed for \begin{align}622\frac{1}{2}\end{align} miles. He took breaks, but remained at an average constant speed when driving. Some of the data related to the trip appear in the table below:

 Time (h) 3 4 5 6 9 c Distance (mi) $$186\frac{3}{4}$$ a $$311\frac{1}{4}$$ b $$560\frac{1}{4}$$ $$622\frac{1}{2}$$
• Question 1

Part A

What is Mr. Johanssen's rate of speed in miles per hour? Express your answer as a fraction or a mized number.

• Speed:
• miles per hour
• Question 2

Part B

Using the answer from Part A, find the missing values in the table. Express your answer as a fraction or a mixed number.

• a= miles
b= miles
c= hours
• Question 3

Part C

Graph the ordered pairs from the completed table on a coordinate plane. How far will the Johanssens have traveled after 15 hours?

• miles
• Question 4

Part D

The following year, Mr. Johanssen rents a vehicle for the same trip. The speedometer in this vehicle registeres speeds in kilometers per hour instead of  miles per hour. He wants to drive at a constant rate of 70 miles per hour. What is the maximum speed in kilometers per hour that he can drive to not exceed a rate of 70 miles per hour? Express your answer as a mixed number. Remember that 1 mile is approximately equal to $$1\large\frac{3}{5}$$ kilometers

•  kilometers per hour

Problem Solving

• Question 5

A game board measures $$9\frac{1}{2}$$ inches by $$11\frac{3}{4}$$ inches. Estimate the area of the game board.

• Question 6

In a two-week period it was sunny $$\frac{3}{7}$$ of the days. How many days were sunny?

•  days
• Question 7

Seven-eighths of the students in Mr. Klingel’s class watched television last night. The table lists the fraction of those students that watched each type of show. What fraction of the entire class watched a reality show? • students
• Question 8

Nathan deposited $$\frac{7}{9}$$ of his allowance into his savings account. He spent the remaining amount, or $2.50. How much did Nathan deposit into his savings account? • $
• Question 9

It is recommended that $$\frac{3}{5}$$ of the Calories a person consumes come from carbohydrates. If $$\frac{1}{12}$$ of those Calories should be from fiber, what fraction of the total number of Calories should come from fiber?

• Question 10

A pancake recipe calls for $$2\frac{2}{3}$$ cups of flour. If Vonetta wants to make $$1\frac{1}{2}$$ times the recipe, how much flour does she need?

•  cups of flour
• Question 11

Be Precise The largest telescope in the world is powerful enough to identify a penny that is 5 miles away. How many yards is this?

•  yards
• Question 12

Each homeroom of Reedurban Middle School receives a $$\frac{1}{12}$$-acre plot of the land shown. How many homerooms receive a plot of land? •  homerooms
• Question 13

To make $$4\frac{1}{2}$$ gallons of ice cream, it takes $$6\frac{3}{10}$$ gallons of milk. How many gallons of milk does it take to make one gallon of ice cream?

• gallons of milk

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