Day 1 Math: Mixed Fraction Operations (分数混合运算)

🧮 Day 1 Math: Mixed Fraction Operations (分数混合运算)

Hello, Sisi! Today we will learn about fraction multiplication 分数乘法 and fraction division 分数除法. This is a key topic for P6 Math and the PSLE exam!

📚 Key Vocabulary (重点词汇)

Fraction 分数
Numerator 分子
Denominator 分母
Multiply
Divide
Reciprocal 倒数
Simplify 化简
Lowest terms 最简分数

🔹 Part 1: Fraction Multiplication (分数乘法)

To multiply fractions 乘分数, we follow a simple rule:

📌 The Rule (规则)

Multiply the numerators(分子乘分子), then multiply the denominators(分母乘分母).

💡 Example (例题)

Q: Calculate 2/3 × 4/5

A:

  • Numerators: 2 × 4 = 8
  • Denominators: 3 × 5 = 15
  • Answer = 8/15 (already in lowest terms)

🎮 Interactive Demo: See the Rule! (互动演示)

Click the button to watch the numbers move(移动)!

2/3 × 4/5 = ?


🔹 Part 2: Fraction Division (分数除法)

To divide fractions 除分数, we use the “flip and multiply”(颠倒相乘)method:

📌 The 3 Steps (三步法)

Step 1: Keep the first fraction as it is(保持不变)

Step 2: Change ÷ to ×, then flip the second fraction (reciprocal)(颠倒求倒数)

Step 3: Multiply as usual!(照常相乘!)

💡 Example (例题)

Q: Calculate 3/4 ÷ 2/3

A:

  • Step 1: Keep 3/4
  • Step 2: Change to × and flip → 3/4 × 3/2
  • Step 3: 3 × 3 = 9, 4 × 2 = 8
  • Answer = 9/8 = 1 1/8 (mixed number)

🎮 Interactive Demo: Flip & Multiply! (颠倒相乘演示)

3/4 ÷ 2/3 = ?


🔹 Part 3: Simplifying Answers (化简答案)

Always simplify 化简 your answer to the lowest terms 最简分数! If the numerator is bigger than the denominator, convert to a mixed number(带分数).

📌 How to Simplify (如何化简)

Find the HCF(最大公约数)of the numerator and denominator, then divide both by it.

Example: 6/8 → HCF of 6 and 8 is 2 → 3/4 ✅


🔹 Part 4: Practice Questions (练习题)

Q1: What is 1/4 × 1/2 = ?

Q2: What is 2/3 ÷ 1/3 = ?

Q3: Simplify 4/6 = ?


📝 Summary (本节总结)

  • Multiply: Numerator × Numerator, Denominator × Denominator(分子乘分子,分母乘分母)
  • Divide: Keep, Flip, Multiply(保持,颠倒,相乘)
  • ✅ Always simplify(化简) to lowest terms
  • ✅ Convert to mixed number(带分数) if numerator > denominator