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Page 1 Working with Fractions Page 2 Working with Fractions Understanding Multiplication with Fractions Whole Number Multiplication Multiplication is repeated addition. If Aaron walks 3 km in 1 hour, in 5 hours he walks: 5 hours × 3 km/hour = 15 km Fraction Scenarios Multiplication with fractions arises when finding part of a whole or scaling quantities. We'll explore how to multiply fractions with whole numbers and other fractions. Page 3 Working with Fractions Understanding Multiplication with Fractions Whole Number Multiplication Multiplication is repeated addition. If Aaron walks 3 km in 1 hour, in 5 hours he walks: 5 hours × 3 km/hour = 15 km Fraction Scenarios Multiplication with fractions arises when finding part of a whole or scaling quantities. We'll explore how to multiply fractions with whole numbers and other fractions. Multiplying Fractions by Whole Numbers The Problem If Aaron's tortoise walks 1/4 kilometre in 1 hour, how far can it walk in 3 hours? The Calculation We need to calculate 3 × (1/4) km. Visually, this is 1/4 + 1/4 + 1/4 = 3/4 km. The Next Challenge How far can Aaron walk in fractional time periods like 1/5 or 2/5 of an hour? Page 4 Working with Fractions Understanding Multiplication with Fractions Whole Number Multiplication Multiplication is repeated addition. If Aaron walks 3 km in 1 hour, in 5 hours he walks: 5 hours × 3 km/hour = 15 km Fraction Scenarios Multiplication with fractions arises when finding part of a whole or scaling quantities. We'll explore how to multiply fractions with whole numbers and other fractions. Multiplying Fractions by Whole Numbers The Problem If Aaron's tortoise walks 1/4 kilometre in 1 hour, how far can it walk in 3 hours? The Calculation We need to calculate 3 × (1/4) km. Visually, this is 1/4 + 1/4 + 1/4 = 3/4 km. The Next Challenge How far can Aaron walk in fractional time periods like 1/5 or 2/5 of an hour? Walking in Fractional Time 3 km Full Hour Distance Aaron walks 3 kilometers in 1 complete hour. 0.6 km 1/5 Hour Distance To find distance in 1/5 hour, divide 3 km by 5. 1.2 km 2/5 Hour Distance For 2/5 hour, multiply 0.6 km by 2. Page 5 Working with Fractions Understanding Multiplication with Fractions Whole Number Multiplication Multiplication is repeated addition. If Aaron walks 3 km in 1 hour, in 5 hours he walks: 5 hours × 3 km/hour = 15 km Fraction Scenarios Multiplication with fractions arises when finding part of a whole or scaling quantities. We'll explore how to multiply fractions with whole numbers and other fractions. Multiplying Fractions by Whole Numbers The Problem If Aaron's tortoise walks 1/4 kilometre in 1 hour, how far can it walk in 3 hours? The Calculation We need to calculate 3 × (1/4) km. Visually, this is 1/4 + 1/4 + 1/4 = 3/4 km. The Next Challenge How far can Aaron walk in fractional time periods like 1/5 or 2/5 of an hour? Walking in Fractional Time 3 km Full Hour Distance Aaron walks 3 kilometers in 1 complete hour. 0.6 km 1/5 Hour Distance To find distance in 1/5 hour, divide 3 km by 5. 1.2 km 2/5 Hour Distance For 2/5 hour, multiply 0.6 km by 2. Step-by-Step Calculation Find distance in 1/5 hour In 1/5 hour, Aaron covers 0.6 kilometers. Multiply by 2 Since 2/5 is twice 1/5, multiply 0.6 by 2. Calculate final answer 2 × 0.6 = 1.2 kilometers in 2/5 hour.Read More
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FAQs on PPT: Working with Fractions - PPTs for Class 7
| 1. What are fractions and how are they used in everyday life? |  |
Ans. Fractions represent a part of a whole and are written in the form of a numerator (the top number) and a denominator (the bottom number). In everyday life, fractions are used in various situations, such as cooking (measuring ingredients), dividing items (sharing pizza), and in financial contexts (calculating discounts).
| 2. How do you add and subtract fractions? | |
Ans. To add or subtract fractions, they must have a common denominator. If they do not, you first find the least common denominator (LCD). After that, you convert each fraction to an equivalent fraction with the LCD, perform the addition or subtraction on the numerators, and keep the denominator the same. Finally, simplify the resulting fraction if possible.
| 3. What is the difference between proper and improper fractions? | |
Ans. A proper fraction is a fraction where the numerator is less than the denominator (e.g., 3/4), whereas an improper fraction has a numerator that is greater than or equal to the denominator (e.g., 5/3 or 4/4). Improper fractions can also be converted into mixed numbers, which combine a whole number and a proper fraction.
| 4. How do you multiply and divide fractions? | |
Ans. To multiply fractions, you simply multiply the numerators together and the denominators together (e.g., (2/3) * (4/5) = 8/15). To divide fractions, you multiply by the reciprocal of the divisor (the second fraction). For example, dividing (2/3) by (4/5) is the same as multiplying (2/3) by (5/4), resulting in (2 * 5) / (3 * 4) = 10/12, which simplifies to 5/6.
| 5. Why is it important to simplify fractions? | |
Ans. Simplifying fractions makes them easier to understand and work with. It helps in comparing fractions, performing calculations, and ensures that the fraction is in its simplest form, which is often required in mathematical expressions and real-life applications. Simplified fractions can also help reduce errors in calculations.
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