Lesson 11: Using an Algorithm to Divide Fractions | Unit 4: Dividing Fractions

Multiple Choice

Select **all** the statements that show correct reasoning for finding $$\frac{14}{15}\div \frac{7}{5}$$ .

• Multiplying $$\frac{14}{15}$$ by 5 and then by $$\frac{1}{7}$$ .

• Dividing $$\frac{14}{15}$$ by 5, and then multiplying by $$\frac{1}{7}$$ .

• Multiplying $$\frac{14}{15}$$ by 7, and then multiplying by $$\frac{1}{5}$$ .

• Multiplying $$\frac{14}{15}$$ by 5 and then dividing by 7.

• Multiplying $$\frac{15}{14}$$ by 7 and then dividing by 5.

Open Ended

Clare said that $$\frac{4}{3}\div\frac52$$ is $$\frac{10}{3}$$ . She reasoned: $$\frac{4}{3} \cdot 5=\frac{20}{3}$$ , and $$\frac{20}{3}\div 2=\frac{10}{3}$$ . Explain why Clare’s answer and reasoning are incorrect. Find the correct quotient.

Open Ended

Find the value of $$\frac{15}{4}\div \frac{5}{8}$$ . Show your reasoning.

Multiple Choice

Consider the problem: Kiran has $$2\frac34$$ pounds of flour. When he divides the flour into equal-size bags, he fills $$4\frac18$$ bags. How many pounds fit in each bag? Write a multiplication equation to represent the question.

• 1 pound
• 3 pounds
• 5 pounds
• 22/33 pounds

Multiple Choice

Kiran has $$2\frac34$$ pounds of flour. When he divides the flour into equal-size bags, he fills $$4\frac18$$ bags. How many pounds fit in each bag? Write a division equation to represent the question.

• 2/3 pounds
• 1/2 pounds
• 3/4 pounds
• 1 pound

Open Ended

Consider the problem: Kiran has $$2\frac34$$ pounds of flour. When he divides the flour into equal-size bags, he fills $$4\frac18$$ bags. How many pounds fit in each bag? Find the answer and show your reasoning.

Multiple Choice

A road crew paved $$\frac{1}{5}$$ mile of a road one morning. If this is $$\frac{3}{4}$$ of the section to be paved, how long is the entire section? Write a multiplication equation and a division equation to represent the question.

• \frac{4}{15} miles
• rac{1}{3} miles
• rac{1}{2} miles
• rac{2}{5} miles

Open Ended

A road crew paved $$\frac{1}{5}$$ mile of a road one morning. If this is $$\frac{3}{4}$$ of the section to be paved, how long is the entire section? Find the answer, and show your reasoning.

Open Ended

Find the value of $$\frac{5}{32}\div \frac{25}{4}$$ . Show your reasoning.

Multiple Choice

A bucket contains $$11\frac23$$ gallons of water and is $$\frac56$$ full. How many gallons of water would be in a full bucket?

• 14 gallons
• 16 gallons
• 12 gallons
• 10 gallons