Solve the problems. 1 Carlos buys 4 LaTeX: \frac{1}{3}1 3 pounds of oranges. He uses LaTeX: \frac{3}{4}3 4 of the oranges in a recipe.
Which of the following expressions can be used to find the number of pounds of oranges that Carlos uses?

Select all the correct answers.

A LaTeX: \frac{3}{4}3 4 xLaTeX: \frac{13}{3}13 3

B LaTeX: \frac{3}{4}3 4 xLaTeX: \frac{4}{3}4 3

C LaTeX: \frac{3}{4}3 4 +LaTeX: \frac{3}{4}3 4 +LaTeX: \frac{3}{4}3 4 +LaTeX: \frac{1}{3}1 3

D (LaTeX: \frac{3}{4}3 4 x 4) + ( LaTeX: \frac{3}{4}3 4 x LaTeX: \frac{1}{3}1 3)

E LaTeX: \frac{3}{4}3 4 XLaTeX: \frac{3}{13}3 13

2 Miranda’s car travels 40 miles on 1LaTeX: \frac{3}{8}3 8 gallons of gas. Miranda wants to travel 80 miles. How many gallons of gas will her car use?

Write your answer as a fraction.

3 What is the area of a workshop that is 4 yards wide and 5LaTeX: \frac{2}{3}2 3 yards long?

A 9 LaTeX: \frac{2}{3}2 3 square yards

B 13 LaTeX: \frac{1}{3}1 3 square yards

C 20 LaTeX: \frac{2}{3}2 3 square yards

D 22 LaTeX: \frac{2}{3}2 3 square yards

4 Matt has LaTeX: \frac{2}{3}2 3 yard of fishing line. He uses LaTeX: \frac{3}{8}3 8 of the line to make fishing knots.

Part A

Shade the model to show the amount of line Matt uses to make fishing knots. You will have to send me a snap shot of your model drawn out and labeled.

Part B

Kara says Matt uses LaTeX: \frac{24}{25}24 25 of the line to make knots. Explain Kara’s error and tell how to use an equation to find the amount of line Matt uses.