Fractions of a number: word problems

Key points :

🟡 What is a Fraction of a Number?

• A fraction of a number means taking a part of the whole.
• Example:
  👉 ½ of 20 = 10
  👉 ⅓ of 15 = 5

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🟠 How to Find a Fraction of a Number?

✨ Step-by-step method

1️⃣ Divide the number by the denominator.
2️⃣ Multiply by the numerator.
🎯 Formula:
Fraction of a number = (Number ÷ Denominator) × Numerator

Example:
👉 ⅔ of 18 = (18 ÷ 3) × 2 = 6 × 2 = 12

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🔵 Use Fractions in Real-Life Word Problems

Fractions help us in real-life situations like:
🍫 Sharing chocolates
📚 Dividing pages in a book
🍕 Eating parts of a pizza
🏏 Playing games (scores, distances)

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🟣 Important Words in Fraction Word Problems

Look for these clue words:

• “of” → multiply
• “part of” → find fraction
• “shared equally” → division
• “portion” → fraction

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🟢 Example Word Problems

🧁 Example 1:

Riya ate ½ of 12 cupcakes.
👉 12 ÷ 2 = 6
✔️ Riya ate 6 cupcakes.

📚 Example 2:

A book has 60 pages. Meera read ⅓ of it.
👉 60 ÷ 3 = 20
✔️ Meera read 20 pages.

🥤 Example 3:

A jug has 24 litres of juice. Ravi drank ¼ of it.
👉 24 ÷ 4 = 6
✔️ Ravi drank 6 litres.

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🔴 Tips to Solve Easily

✨ Always divide first, then multiply.
✨ Read the problem carefully—look for the word “of”.
✨ Draw pictures or bar models if needed.
✨ Check your answer—does it make sense?

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🌟 Common Mistakes to Avoid

⚠️ Multiplying instead of dividing first.
⚠️ Forgetting numerator or denominator.
⚠️ Not reading the question completely.

Learn with an example

let’s try some problems!