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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.
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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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