Class 7 Mathematics — Chapter 8: WORKING WITH FRACTIONS

What you'll learn

• ▸Multiplication of a Fraction by a Whole Number
• ▸Concept of Multiplying Two Fractions
• ▸Visualizing Fraction Multiplication with Area Models
• ▸The Algorithm for Multiplying Fractions
• ▸Multiplication with Mixed Fractions
• ▸Fraction Multiplication as Area of a Rectangle
• ▸Solving Word Problems with Fraction Multiplication

Chapter Summary

--- PAGE 1 --- 8 WORKING WITH FRACTIONS 0774CH08 8.1 Multiplication of Fractions Aaron walks 3 kilometres in 1 hour. How far can he walk in 5 hours? This is a simple question. We know that to find the distance, we need to find the product of 5 and 3, i.e., we multiply 5 and 3. Distance covered in 1 hour = 3 km. Therefore, Distance covered in 5 hours = 5 × 3 km = 3 + 3 + 3 + 3 + 3 km = 15 km. ? Aaron's pet tortoise walks at a much slower pace. It can walk only ¼ kilometre in 1 hour. How far can it walk in 3 hours? Here, the distance covered in an hour is a fraction. This does not matter. The total distance covered in an hour is calculated in the same way, as multiplication. ┌───────┐ Distance in│ │ 1 hour ↓ │ 0 ───────────────────┼──────────┼───────┼─────────────────── ¼ km ⟵───────────────────────────── Distance in 3 hour ──────…

Practice Questions from this Chapter

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1. Explain fraction multiplication visually. Get Solution →
2. Give real examples of fractions in daily life. Get Solution →
3. Solve a tricky fraction word problem. Get Solution →
4. According to the text, how do you multiply a fraction (a/b) by another fraction (c/d)? Get Solution →
5. How can a whole number, like 3, be written as a fraction to use in multiplication? Get Solution →
6. If a tortoise walks 1/4 kilometre in 1 hour, how far can it walk in 3 hours? Get Solution →
7. The general formula for fraction multiplication was first stated in 628 CE by which scholar mentioned in the text? Get Solution →
8. What is the historical term mentioned for the process of reducing a fraction to its lowest terms? Get Solution →

Did you know?

• 💡 Ancient Egyptians mostly used unit fractions, like 1/2 or 1/3, not complex ones.
• 💡 The word "fraction" comes from the Latin word "frangere," meaning "to break."
• 💡 Some musical notes, like a quarter note, get their names directly from fractions.
• 💡 There are special "Egyptian fractions" where every numerator is 1.
• 💡 Multiplying fractions can make numbers smaller, unlike whole number multiplication.

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