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 2 ÷ 1/3. How many thirds fit in 2 wholes?
   2. Put a 1 under the whole number. What do you get? (2/1 ÷ 1/3)
   3. Keep, Change, Flip. What is the new problem? (2/1 × 3/1)
   4. Multiply across. What is the answer? (2/1 × 3/1 = 6/1 = 6)
   5. Count the thirds in the bars. Do you get the same number? (Yes. There are 6 thirds in 2 wholes.)

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

   Show your work
2. 2

   Quick reviewWhat is 4.8 ÷ 2? 🔊 Listen 💡 Hint

   1. A0.24
   2. B2.4
   3. C2.6
   4. D24
3. 3

   Quick reviewWhat is 8.4 ÷ 0.7? 🔊 Listen 💡 Hint

   1. A0.12
   2. B1.2
   3. C12
   4. D120
4. 4

   Quick reviewWhat is 14.4 ÷ 1.2? 🔊 Listen 💡 Hint

   1. A0.12
   2. B1.2
   3. C12
   4. D120

Try these on your own

Choose an answer. Then explain how you know.

1. 5

   Think it through6 ÷ 1/3 = ? 🔊 Listen 💡 Hint

   1. A2
   2. B3
   3. C6
   4. D18

   Why is that the answer?

   I chose ___ because ___ .
2. 6

   Think it throughWhy is the answer bigger than 6? 🔊 Listen 💡 Hint

   1. ABecause the pieces are smaller than a whole yard, so many of them fit
   2. BBecause dividing always makes numbers bigger
   3. CBecause 1/3 is negative
   4. DBecause 6 × 3 is multiplication, not division

   How do you know?

   I chose ___ because ___ .
3. 7

   Think it throughIf each section were 1/2 yard instead, how many sections? 🔊 Listen 💡 Hint

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

   Explain your thinking.

   I chose ___ because ___ .
4. 8

   Back to the modelWhy does dividing by a unit fraction always give a number larger than the dividend? 🔊 Listen 💡 Hint

   Dividing by 1/3 means finding how many ___ fit into ___, so the quotient is ___ than the dividend.

Use the words

Fill each blank with a word from the bank.

• In 6 ÷ 1/2, the number 6 being divided is the ___.
• In 6 ÷ 1/2, the number 1/2 we divide by is the ___.
• The answer to a division problem is the ___.
• The fraction you get by flipping the numerator and denominator 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 Interpret Division of Fractions is assuming that dividing always makes the answer smaller.
2. 10

   Say moreWhat does 3 ÷ 1/4 actually mean? Show your partner with the bar model. 🔊 Listen 💡 Hint

   Dividing 3 by 1/4 means finding how many ___ fit into ___.
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 5.10. 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 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

   Explain your choice.

   I know it is ___ because ___ .
2. 13

   From Lesson 5.10Quick check — you've got this: A rectangular prism has l = 7 ft, w = 2 ft, h = 3 ft. What is the volume? 🔊 Listen 💡 Hint

   1. A12 ft³
   2. B24 ft³
   3. C42 ft³
   4. D42 ft²
3. 14

   From Lesson 5.10Why divide by 231 instead of multiplying? 🔊 Listen 💡 Hint

   1. ABecause dividing always makes numbers smaller
   2. BBecause you are finding how many 231-in³ gallons fit inside the tank
   3. CBecause 231 is bigger than 24
   4. DBecause gallons are bigger than inches

Check your progress

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