Which of the following expressions is equivalent to the calculation $18 \div \frac{2}{9}$?

$\frac{1}{18} \times \frac{2}{9}$

$\frac{1}{18} \times \frac{9}{2}$

Dividing Fractions Practice — Grade 6 math

Lesson 2: Dividing Fractions — Practice Questions

1. A baker has 10 pounds of flour. If each cake recipe requires $\frac{5}{4}$ pounds of flour, how many full cakes can the baker make? ___
2. A rectangular poster has an area of $\frac{9}{10}$ square meters. If its width is $\frac{3}{4}$ of a meter, what is its length in meters?
- A. $\frac{6}{5}$
- B. $\frac{27}{40}$
- C. $\frac{5}{6}$
- D. $\frac{2}{5}$
3. A water jug is filled with 9 liters of water, which makes it $\frac{3}{5}$ full. What is the total capacity of the jug in liters? ___
4. Which of the following expressions is equivalent to the calculation $18 \div \frac{2}{9}$?
- A. $18 \times \frac{2}{9}$
- B. $18 \times \frac{9}{2}$
- C. $\frac{1}{18} \times \frac{2}{9}$
- D. $\frac{1}{18} \times \frac{9}{2}$
5. A chemist has a beaker with $\frac{4}{5}$ of a liter of acid. She needs to pour it into smaller test tubes that each hold $\frac{1}{10}$ of a liter. How many test tubes can she fill completely? ___
6. Calculate the value of the expression $4 \div \frac{3}{5}$. Express your answer as a fraction. Answer: ___
7. A baker divides $\frac{6}{7}$ of a pound of flour into 3 equal containers. What is the weight of the flour in each container, expressed as a fraction of a pound? Answer: ___
8. Which of the following expressions is equivalent to $5 \div \frac{3}{8}$?
- A. $\frac{5}{1} \times \frac{8}{3}$
- B. $\frac{1}{5} \times \frac{3}{8}$
- C. $5 \times \frac{3}{8}$
- D. $\frac{5}{1} \div \frac{8}{3}$
9. Calculate the value of the expression $\frac{10}{11} \div 5$. Express your answer as a simplified fraction. Answer: ___
10. When preparing to solve a division problem involving a fraction and a whole number, what is the correct first step?
- A. Invert the fraction and multiply.
- B. Write the whole number as a fraction with a denominator of 1.
- C. Multiply the fraction's numerator by the whole number.
- D. Find a common denominator for the fraction and the whole number.