Lesson 2: Determine Unit Rates with Ratios of Fractions — Practice Questions

1. 1. Dividing a number by $\dfrac{3}{4}$ is equivalent to performing which other operation on that number?

   • A. Multiplying by $\dfrac{4}{3}$
   • B. Multiplying by $\dfrac{3}{4}$
   • C. Dividing by $\dfrac{4}{3}$
   • D. Subtracting $\dfrac{3}{4}$

2. 2. A road crew paints lines at a rate of $\dfrac{7}{10}$ miles per hour. How long will it take them to paint an $8\dfrac{3}{4}$ mile section of road? Give your answer in hours as a mixed number. ___

3. 3. Which statement best explains why dividing by $0.1$ is the same as multiplying by $10$?

   • A. Dividing by a number is the same as multiplying by its reciprocal. The reciprocal of $0.1$ (which is $\frac{1}{10}$) is $10$.
   • B. Dividing by $0.1$ moves the decimal point one place to the left, and multiplying by $10$ also moves it one place to the left.
   • C. Both $0.1$ and $10$ are powers of ten.
   • D. Division and multiplication are inverse operations.

4. 4. A quart is 4 cups. How many $\dfrac{3}{4}$-cup servings of lemonade are in a quart of lemonade? Give your answer as a mixed number if necessary. ___

5. 5. Angela has a 3-pound bag of peppermint candies. She uses it to make party favors of $\dfrac{1}{8}$ pound each. How many party favors can she make? ___

6. 6. Dividing a number by $\dfrac{1}{5}$ is equivalent to performing which other operation on that number?

   • A. Multiplying by 5
   • B. Dividing by 5
   • C. Multiplying by $\dfrac{1}{5}$
   • D. Subtracting 5

7. 7. A real estate developer buys $12\dfrac{1}{2}$ acres of land and plans to divide it into lots for houses. Each lot will be $\dfrac{5}{6}$ of an acre. How many lots will there be? ___