Start here

Use the model to solve the first problem. Then try these quick review questions from earlier lessons.

1. 1

   Same stepsFinish what the group started. Use the model above, step for step. 🔊 Listen 💡 Hint

   Let's do one together:

   1. Find 1/2 ÷ 1/4. How many fourths fit in one half?
   2. Keep, Change, Flip. What is the new problem? (1/2 × 4/1)
   3. Multiply across. What fraction do you get? (1/2 × 4/1 = 4/2)
   4. Simplify. What is the answer? (4/2 = 2)
   5. Look at the bars. How many 1/4 pieces are in 1/2? (2 pieces. The answer checks.)

   My first step is ___ , because the problem asks for ___ .

   Show your work
2. 2

   Quick reviewWhat is 6 ÷ 1/2? 🔊 Listen 💡 Hint

   1. A1/12
   2. B3
   3. C6 1/2
   4. D12
3. 3

   Quick reviewWhat is 6 ÷ 1/3? 🔊 Listen 💡 Hint

   1. A2
   2. B3
   3. C1/18
   4. D18
4. 4

   Quick reviewWhat is 3 ÷ 1/5? 🔊 Listen 💡 Hint

   1. A3/5
   2. B5/3
   3. C8
   4. D15

Try these on your own

Choose an answer. Then explain how you know.

1. 5

   Think it through5/6 ÷ 1/12 = ? 🔊 Listen 💡 Hint

   1. A2
   2. B5/72
   3. C10
   4. D12

   Why is that the answer?

   I chose ___ because ___ .
2. 6

   Think it throughRewrite 5/6 with a denominator of 12. 🔊 Listen 💡 Hint

   1. A5/12
   2. B6/12
   3. C10/12
   4. D11/12

   How do you know?

   I chose ___ because ___ .
3. 7

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

   1. A5
   2. B6
   3. C10
   4. D30

   Explain your thinking.

   I chose ___ because ___ .
4. 8

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

   5/6 ÷ 1/12 = 10 because 5/6 is the same as ___ twelfths, and ___ twelfths divided by 1 twelfth = ___.

Use the words

Fill each blank with a word from the bank.

• 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.
• The answer to a division problem is the ___.

Explain the thinking

1. 9

   Find the mistakeRead the mistake. Explain what went wrong, then show the correct step. 🔊 Listen 💡 Hint

   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? 🔊 Listen 💡 Hint

   I flipped the divisor to its reciprocal because ___.
3. 11

   Change one numberGo back to Part 1 and pick one problem you already solved. Change one number in it, then solve your new version. Show every step. 🔊 Listen 💡 Hint

   If ___ changed to ___ , then ___ .

   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 knowQuick check — you've got this: What is 5/6 ÷ 1/12? 🔊 Listen 💡 Hint

   1. A5/72
   2. B5/6
   3. C10
   4. D72/5

   Explain your choice.

   I know it is ___ because ___ .
2. 13

   From Lesson 6.1Quick check — you've got this: What does 5 ÷ 1/4 mean, and what is the quotient? 🔊 Listen 💡 Hint

   1. AHow many 1/4-size pieces fit into 5; quotient is 20
   2. B1/4 of 5; quotient is 5/4
   3. C5 groups of 1/4; quotient is 5/4
   4. D5 minus 1/4; quotient is 4 3/4
3. 14

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

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

Check your progress

Choose the box that best describes how you feel about each skill.