📊 Part 1: Long Division Practice

1. Complete the long division using the vertical-column method. Show all your working.

327 ÷ 5 = ?

2. Express the remainder from question 1 as a fraction:

Remainder as a fraction: _______

3. Solve these long division problems and express any remainders as fractions:

a) 284 ÷ 7 = ?

Answer: _______ remainder _______

b) 156 ÷ 4 = ?

Answer: _______ remainder _______

🧮 Part 2: Mathematical Vocabulary

4. Match the mathematical terms with their correct definitions:

1. Dividend

2. Divisor

3. Quotient

4. Remainder

A. The number being divided

B. The answer to a division problem

C. The number you divide by

D. What's left over after division

5. Fill in the blanks using the correct mathematical vocabulary:

In the division problem 45 ÷ 6 = 7 remainder 3:

• The __________ is 45

• The __________ is 6

• The __________ is 7

• The __________ is 3

🍰 Part 3: Adding Fractions with Different Denominators

6. Add these fractions by finding equivalent fractions with common denominators. Show your working.

a) 3/4 + 1/3 = ?

b) 2/5 + 1/10 = ?

c) 1/2 + 3/8 = ?

7. Circle the correct equivalent fractions:

Which fraction is equivalent to 2/3?

4/6

3/4

6/8

8/12

🎯 Part 4: Real-World Problem Solving

8. Sarah has 147 lollies to share equally among 8 children. How many lollies will each child get, and how many will be left over? Express the leftover as a fraction.

Each child gets: _______ lollies

Leftover as a fraction: _______

9. At a school bake sale, Tom ate 2/5 of a pie and his sister ate 1/4 of the same pie. What fraction of the pie did they eat altogether?

Total fraction eaten: _______

10. A recipe calls for 3/4 cup of flour and 1/6 cup of sugar. How much dry ingredients is this in total?

Total dry ingredients: _______ cups

🤔 Part 5: Reasoning and Reflection

11. Explain in your own words how to find a common denominator when adding fractions:

12. Check all the strategies that help you solve long division problems:

Knowing multiplication facts

Using estimation to check answers

Understanding place value

Working from right to left

Using the vertical-column method

13. Draw a visual representation (diagram or picture) to show how 1/2 + 1/4 = 3/4:

14. Rate your confidence with today's learning (circle one):

Long Division: 😟 Not confident 😐 Somewhat confident 😊 Very confident

Adding Fractions: 😟 Not confident 😐 Somewhat confident 😊 Very confident

Long Division and Fractions

Long Division and Fractions

📊 Part 1: Long Division Practice

🧮 Part 2: Mathematical Vocabulary

🍰 Part 3: Adding Fractions with Different Denominators

🎯 Part 4: Real-World Problem Solving

🤔 Part 5: Reasoning and Reflection

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