OUR Unit 4 Review

Maddie biked  $8\frac{3}{4}$ miles today, and Chase biked  $3\frac{1}{2}$   miles. How many times the length of Chase’s bike ride was Maddie’s bike ride?

•  $\frac{2}{5}$  times as far

•  $\frac{3}{2}$  times as far

•  $\frac{5}{2}$  times as far

•  $\frac{28}{70}$  times as far

Select all equations that represent this question:
Tommy is stacking donuts to build “Tommy’s Famous Tower of Donuts!”  He takes a break (possibly to eat donuts, but possibly just to step back and admire his work) when the tower is 5 feet tall, which is  $\frac{2}{3}$    of the height of the tower he wants to build. How tall is the tower when finished?  (Hint: There are 3.)

•  $\frac{2}{3}\div5=?$  

•  $\frac{2}{3}\cdot?=5$  

•  $5\cdot?=\frac{2}{3}$  

•  $5\div\frac{2}{3}=?$  

•  $5\cdot\frac{3}{2}=?$  

Select all statements that show correct reasoning for finding $13\div\frac{4}{5}$  

• Multiply 13 by 5, then multiply by  $\frac{1}{4}$ 

• Multiply 13 by 4, then divide by 5.

• Multiply 13 by 5, then divide by 4.

• Multiply 13 by  $\frac{1}{5}$ , then multiply by 4.

Divide $\frac{2}{3}\div\frac{1}{5}$  

•  $\frac{3}{8}$  

•  $\frac{2}{15}$  

•  $\frac{10}{3}$  

•  $\frac{15}{2}$  

Divide $\frac{7}{2}\div\frac{3}{4}$  

•  $\frac{6}{28}$  

•  $\frac{14}{3}$  

•  $\frac{21}{8}$  

•  $\frac{2.1}{2}$  

Divide  $\frac{5}{9}\div\frac{10}{11}$  

•  $\frac{50}{99}$  

•  $\frac{90}{55}$  

•  $\frac{11}{18}$  

•  $\frac{3}{4}$  

Allison and Louise are looking at this tape diagram and they see different answers.  They both agree that the problem is  $4\div\frac{3}{5}$  but they disagree about what it means.
Allison says the diagram shows  $4\div\frac{3}{5}=6\frac{2}{5}$  
Louise says that the diagram shows  $4\div\frac{3}{5}=6\frac{2}{3}$  
Who is correct and why?

• Allison because the picture clearly says that the extra part is  $\frac{2}{5}$  so it is  $6\frac{2}{5}$  

• Louise because the two extra pieces at the end are 2 of the 3 pieces that would be needed to make a 7th group thus it is  $6\frac{2}{3}$  
  

• Allison because when something is cut into 5th's we need to keep a common denominator thus it is  $6\frac{2}{5}$  

• Louise because I would use keep change flip so  $\frac{3}{5}$  would become  $\frac{5}{3}$ which is equal to  $1\frac{2}{3}$  

How many  $\frac{1}{2}$   inch cubes does it take to fill a box with width 4 inches, length  $2\frac{1}{2}$  inches, and height  $1\frac{1}{2}$  inches?  If it helps, then draw the box.

• 120 cubes

• 43 cubes

• 15 cubes

• 240 cubes

• 60 cubes

Anna makes some art in the shape of a rectangle.  The area of the rectangle is  $13\frac{3}{4}$  square inches. Its width is  $2\frac{1}{2}$  inches. What is the length of the rectangle? Show or explain your reasoning.  Please include the correct unit in your answer. 

•  $34\frac{3}{8}$  square inches because I multiply both numbers together.

•  $5\frac{1}{2}$  inches because you take the area divided by a side length to find the other side length.

•  $16\frac{1}{4}$  inches because you add both numbers together to find the missing side value.

•  $11\frac{1}{4}$  inches squared because you subtract the smaller number from the bigger number and since the bigger number has a unit of square inches, the answer also needs the same unit.

Drew has a very small gift box that he is fills with beach glass.  The box has a length of  $\frac{5}{3}$  inches, a width of  $\frac{9}{5}$  inches, and a height is  $\frac{3}{2}$   inches. What is the volume of the box?  Please include the correct unit in your answer.

•  $\frac{9}{2}$  cubic inches.

•  $\frac{17}{10}$  square inches

•  $\frac{135}{30}$  square inches

•  $\frac{50}{81}$  cubic inches