Start here

You did these with your group. Now do them on your own — the model above is yours to copy.

1. 1

   Same stepsFinish what the group started. Use the model above, step for step.

   Try it together — then prove it: Let's try 1/2 ÷ 1/4. Keep 1/2, change to ×, flip 1/4 to 4/1. Multiply: 1/2 × 4/1 = 4/2. Simplify: 4/2 = 2. So 1/2 ÷ 1/4 = 2. Now prove it: say why that move had to work at all — not just that it did.

   Show your work
2. 2

   Warm restartWhat is 6 ÷ 1/2?

   1. A12
   2. B3
   3. C6 1/2
   4. D1/12

   How do you know?
3. 3

   Warm restartWhat is 6 ÷ 1/3?

   1. A2
   2. B18
   3. C6/3
   4. D3

   How do you know?
4. 4

   Warm restartWhat is 3 ÷ 1/5?

   1. A3/5
   2. B5/3
   3. C15
   4. D8

   How do you know?

You answered these out loud. Now write them.

Answer, then say how you know — the reason is the part that counts.

1. 5

   Think it through5/6 ÷ 1/12 = ?

   1. A10
   2. B5/72
   3. C2
   4. D12

   Why is that the answer?
2. 6

   Think it throughRewrite 5/6 with a denominator of 12.

   1. A10/12
   2. B5/12
   3. C6/12
   4. D11/12

   How do you know? Give a second reason as well.
3. 7

   Think it throughIf each piece were 1/6 of a foot, how many pieces?

   1. A5
   2. B10
   3. C6
   4. D30

   Explain your thinking. What would have to change for a different choice to be right?
4. 8

   Back to the modelWhy does 5/6 ÷ 1/12 = 10? How does the bar model show this?

Use the words

Fill each blank with a word from the bank.

• Keep the first fraction, change ÷ to ×, and flip the ___.
• In 3/4 ÷ 1/2, the fraction 3/4 being divided is the ___.
• In 3/4 ÷ 1/2, the fraction 1/2 we divide by is the ___.
• To divide by 1/2, I multiply by its ___, which is 2.

Explain the thinking

1. 9

   Find the mistakeAnother student made this exact mistake in this lesson. Explain why it is wrong, then write what they should have done.

   The mistake: A common mistake in Divide Fractions is flipping the wrong fraction: students flip the dividend (the first fraction) instead of the divisor (the second fraction).
2. 10

   Say moreWhy do we multiply by the reciprocal when we divide one fraction by another?
3. 11

   Write your ownWrite your own problem about this situation, then solve it and show the answer. The situation: Agent Reyes has 5/6 pound of fingerprint powder in the evidence locker. Each sample tube for the crime lab holds 1/12 pound.

   Show your work

Last check

These two come from Lesson 6.1. If they are shaky, that is the lesson to revisit — not this one.

1. 12

   Show what you knowExplain your thinking — What is 5/6 ÷ 1/12?

   1. A10
   2. B5/72
   3. C5/6
   4. D72/5

   Explain your choice.
2. 13

   From Lesson 6.1Explain your thinking — What does 5 ÷ 1/4 mean, and what is the quotient?

   1. AHow many 1/4-size pieces fit into 5; quotient is 20
   2. B5 groups of 1/4; quotient is 5/4
   3. C1/4 of 5; quotient is 5/4
   4. D5 minus 1/4; quotient is 4 3/4

   How do you know?
3. 14

   From Lesson 6.1If each section were 1/2 yard instead, how many sections?

   1. A3
   2. B12
   3. C18
   4. D24

   How do you know?

Be honest — this tells your teacher what to do next