Lesson 1.Practice TestUnit 1 Practice Test
Start hereWords, worked example, and sentence starters
Learning target I can divide with fractions and mixed numbers and give the quotient as a mixed number in simplest form, say how many whole groups fit and what the leftover means, divide multi-digit whole numbers, and divide decimals in money problems.
Start hereWords for this lesson
Read each word before you begin. Say it out loud.
| Word | What it means | Example |
|---|---|---|
| DividendSpanish: Dividendo | The total number being divided into equal groups (the number inside the division bracket). | In 1,344 ÷ 12 = 112, the dividend is 1,344 — the total amount being divided |
| DivisorSpanish: Divisor | The number of equal groups you are dividing into (the number outside the division bracket). | In 1,344 ÷ 12 = 112, the divisor is 12 — the number of equal groups |
| QuotientSpanish: Cociente | The answer when you divide. | In 156 ÷ 12 = 13, the quotient is 13 — there are 13 groups |
| RemainderSpanish: Residuo | What is left over when a number does not divide evenly. | 17 ÷ 5 = 3 R 2 means 3 groups of 5 with 2 left over |
| 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 |
| ReciprocalSpanish: Recíproco | A fraction turned upside down. | The reciprocal of 2/3 is 3/2. To divide by 2/3, multiply by 3/2. |
Say it and write itSentence starters
Finish each sentence out loud with a partner. Then use them in your writing.
Word bank DividendDivisorQuotientRemainderUnit fractionReciprocal
Watch outA 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 — but only the divisor gets flipped. Keep 3/4, change ÷ to ×, and flip only the divisor 5/8 to its reciprocal 8/5: 3/4 × 8/5 = 24/20 = 6/5. Before you submit, check that the fraction you kept (the dividend) is still facing the same way it started.
Lesson 1.Practice TestUnit 1 Practice Test
Apply Day · Version ASupported practice
Learning target I can divide with fractions and mixed numbers and give the quotient as a mixed number in simplest form, say how many whole groups fit and what the leftover means, divide multi-digit whole numbers, and divide decimals in money problems.
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1Complete the table. Show how you found each value.
Run the long-division cycle. Fill in the quotient.
Problem Divide Multiply & Subtract Bring Down Quotient 384 ÷ 8 672 ÷ 6 Hint Read the row left to right — it is one trip around the cycle: divide, multiply, subtract, bring down.
Show your work -
2Complete the table. Show how you found each value.
Rewrite each problem by making the divisor a whole number, then solve.
Original Multiply Both By New Problem Quotient 4.5 ÷ 0.9 10 3.6 ÷ 0.4 10 Hint The 'Multiply Both By' column is the key move: choose 10 or 100 based on how many decimal places the DIVISOR has.
Show your work
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3Circle the letter of the best answer. Show how you know.
Divide the whole number by the unit fraction: 5 ÷ 1/2.
- A10
- B2 1/2
- C5/2
- D3
Hint What is the whole amount, and how big is each piece?
Show your work
Lesson 1.Practice TestUnit 1 Practice Test
Apply Day · Version BCore practice
Learning target I can divide with fractions and mixed numbers and give the quotient as a mixed number in simplest form, say how many whole groups fit and what the leftover means, divide multi-digit whole numbers, and divide decimals in money problems.
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1Complete the table. Show how you found each value.
Complete each division problem.
Division Problem Quotient 672 ÷ 8 2,208 ÷ 16 2,016 ÷ 14 1,560 ÷ 15 3,276 ÷ 12 Show your work
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2Circle the letter of the best answer. Show how you know.
Table 1's lunch bill is $15.00. Every sandwich costs $3.75. How many sandwiches did Table 1 order?
- A0.25 sandwiches
- B4 sandwiches
- C11.25 sandwiches
- D40 sandwiches
Show your work -
3Circle the letter of the best answer. Show how you know.
Divide the whole number by the fraction: 8 ÷ 2/3.
- A12
- B16/3
- C5 1/3
- D4
Show your work
Lesson 1.Practice TestUnit 1 Practice Test
Apply Day · ChallengeExtension
Learning target I can divide with fractions and mixed numbers and give the quotient as a mixed number in simplest form, say how many whole groups fit and what the leftover means, divide multi-digit whole numbers, and divide decimals in money problems.
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1Complete the table. Show how you found each value.
Solve each problem using long division. Show the quotient and any remainder.
Division Problem Quotient Remainder 2,578 ÷ 13 3,456 ÷ 16 1,987 ÷ 11 Show your work
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2Circle the letter of the best answer. Show how you know.
A robotics team is testing a new track design ahead of a regional competition. Their prototype track measures 5 1/4 feet from start to finish, and the competition rulebook requires the whole track to be built out of straight sections that are each exactly 3/4 foot long, with no leftover length allowed anywhere along the course. Before the team can submit their design for inspection, their captain needs to know exactly how many straight sections make up the full length of the track.
- A7 sections
- B4 sections
- C5 1/4 sections
- D3 3/4 sections
Show your work
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3Answer in complete sentences.
A recipe needs 2 1/2 cups of oats per batch. A baker has 8 3/4 cups of oats. How many FULL batches can be made, and how many cups of oats are left over?
Write your answer