Fractions of a group: word problems

key notes :

🔢 Understanding Fractions of a Group

• A fraction of a group means taking a part of a total number.
  👉 Example: ½ of 10 = 5
• The numerator tells how many parts you take.
• The denominator tells how many equal parts the whole is divided into.
  🎯 Fraction = Part of a group

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🧠 How to Find Fractions of a Group

Use this simple rule:

➗ Fraction × Total = Answer

Example:

• ⅓ of 12 = ⅓ × 12 = 4 ✔️
• ¾ of 20 = 3/4 × 20 = 15 ✔️

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🍎 Steps to Solve Word Problems

1️⃣ Read the problem carefully 👀
2️⃣ Identify the total number (group size) 🔍
3️⃣ Find the fraction you need ➗
4️⃣ Multiply: numerator × total ÷ denominator ✖️➗
5️⃣ Write the final answer clearly ✏️

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🎒 Common Situations in Word Problems

• Students in a class 👩‍🏫👦
• Fruits in a basket 🍎🍌
• Animals in a farm 🐄🐑
• Books or toys in a shelf 📚🧸

These problems ask:
👉 “What is fraction of the group?”
👉 Example: What is 2/5 of 25 apples? 🍏
2/5 × 25 = 10 apples

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🌟 Important Tips

• Always check if the number is divisible by the denominator ✨
• If not, multiply first, then divide
• Draw models or groups to understand better 🖍️🟦
• Fractions show equal sharing or equal groups 🤝

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🎯 Example Word Problems

🟢 Example 1:
A class has 30 students. ⅖ of them are girls.
⅖ × 30 = 12 girls 👧

🔵 Example 2:
There are 16 apples. ¼ of them are red.
¼ × 16 = 4 red apples 🍎

🟡 Example 3:
A box has 24 chocolates. ¾ were eaten.
¾ × 24 = 18 chocolates eaten 🍫

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💡 Key Vocabulary

• Group 🧩
• Fraction ➗
• Of = multiply ✖️
• Part 🧊
• Whole 🟦

Learn with an example