Lesson 6.26.1 · 6.2 Catch-Up
Start hereWords, worked example, and sentence starters
Learning target I can show I am caught up on Lessons 6.1 · 6.2 by using each lesson's big idea in mixed practice.
Why This Matters Missed a lesson — or just want a refresher? This catch-up station reviews Lessons 6.1 · 6.2: 6.1 Division Expressions with Fractions and Whole Numbers, 6.2 Division Expressions with Fractions and Mixed Numbers. Work one example from each lesson, then prove you're caught up in the mixed practice.
Start hereWords for this lesson
Read each word before you begin. Say it out loud.
| Word | What it means | Example |
|---|---|---|
| ReciprocalSpanish: Recíproco | A fraction turned upside down. | 2/9 → 9/2 |
| QuotientSpanish: Cociente | The answer when you divide. | 8/9 ÷ 2/9 = 4 |
| DividendSpanish: Dividendo | The total number being divided into equal groups (the number inside the division bracket). | In 8/9 ÷ 2/9, 8/9 is the dividend. |
| DivisorSpanish: Divisor | The number of equal groups you are dividing into (the number outside the division bracket). | In 8/9 ÷ 2/9, 2/9 is the divisor. |
| Unit fractionSpanish: Fracción unitaria | A fraction with 1 on top, like 1/4. | 1/2, 1/3, 1/4, 1/5 — each represents one equal part of a whole |
| SimplifySpanish: Simplificar | To write a fraction with smaller numbers that names the same amount, like 2/4 = 1/2. | 8/12 → GCF is 4 → 8÷4 / 12÷4 = 2/3 |
How it worksWorked example
These numbers are not on your problems. The steps are. Follow them with your own numbers.
A pitcher has 2/3 liter of juice. Each cup holds 1/6 liter. How many cups can be filled?
- Write the division: 2/3 ÷ 1/6.
- Flip the divisor and multiply: 2/3 × 6/1 = 12/3.
- Simplify: 12/3 = 4. Check: 4 × 1/6 = 4/6 = 2/3.
Answer: 4 cups
Now you trySame steps, your turn
The steps are the same as the worked example. The numbers are yours. Do the work.
Find 5 ÷ 1/2.
Say it and write itSentence starters
Finish each sentence out loud with a partner. Then use them in your writing.
- To divide by , I multiply by its reciprocal .
- The quotient counts how many groups of fit inside .
- I did not need a common denominator because .
- After multiplying across, I simplified to .
Word bank reciprocaldividenddivisorquotientkeepchangeflipmultiply acrosssimplifygroupsfit insidetape diagram
Watch out!A common 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). For example, solving 3/4 ÷ 5/8 by flipping 3/4 to 4/3 and keeping 5/8 gives 4/3 × 5/8 = 20/24 = 5/6
Lesson 6.26.1 · 6.2 Catch-Up
Catch-UpSkill bridge
Learning target I can show I am caught up on Lessons 6.1 · 6.2 by using each lesson's big idea in mixed practice.
Why This Matters Missed a lesson — or just want a refresher? This catch-up station reviews Lessons 6.1 · 6.2: 6.1 Division Expressions with Fractions and Whole Numbers, 6.2 Division Expressions with Fractions and Mixed Numbers. Work one example from each lesson, then prove you're caught up in the mixed practice.
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1Complete each step, then write the final answer.
Find 3 ÷ 1/5.
Show your workHint Put a 1 under the 3. Then keep, change, flip.
Final answer: -
2Complete each step, then write the final answer.
Find 4/7 ÷ 3.
Show your workHint Write 3 as 3/1. Flip only the 3/1.
Final answer: -
3Complete each step, then write the final answer.
Find 2/5 ÷ 1/10.
Show your workHint Keep 2/5. Change ÷ to ×. Flip 1/10.
Final answer: -
4Complete each step, then write the final answer.
Find 1 1/2 ÷ 1/4.
Show your workHint Change 1 1/2 to an improper fraction first.
Final answer:
Explain your thinkingWhy does 5/6 ÷ 1/12 = 10? How does the bar model show this?
Sentence starter 5/6 ÷ 1/12 = 10 because 5/6 is the same as ___ twelfths, and ___ twelfths divided by 1 twelfth = ___.