All questions of Working with Fractions for Class 7 Exam

For example,
(2/5)*(4/5)=8/25

Understanding the Problem
To find 3/4 of 2/5, we need to multiply these two fractions together.
Step 1: Multiply the Numerators
- The numerator of the first fraction is 3.
- The numerator of the second fraction is 2.
- Multiply them: 3 * 2 = 6.
Step 2: Multiply the Denominators
- The denominator of the first fraction is 4.
- The denominator of the second fraction is 5.
- Multiply them: 4 * 5 = 20.
Step 3: Form the New Fraction
- Combine the results of the numerator and denominator:
- This gives us 6/20.
Step 4: Simplify the Fraction
- Now, we simplify 6/20.
- Both 6 and 20 can be divided by their greatest common divisor, which is 2.
- Dividing both by 2:
- 6 ÷ 2 = 3
- 20 ÷ 2 = 10
- This simplifies the fraction to 3/10.
Final Result
Thus, 3/4 of 2/5 expressed as a fraction is 3/10.
Correct Option
The correct answer is option 'C' (3/10).
This process of multiplying fractions and simplifying them is essential in understanding how to work with fractions in mathematics, especially in Class 7. Always remember to simplify your final answer!

Understanding Rectangle Area
To find the area of a rectangle, you use the formula:
Area = Length × Width.
In this case:
- Length = 3/4 unit
- Width = 1/2 unit
Calculating the Area
Now, let's substitute the values into the formula:
- Area = (3/4) × (1/2)
To perform the multiplication of fractions, follow these steps:
1. Multiply the numerators: 3 × 1 = 3.
2. Multiply the denominators: 4 × 2 = 8.
Thus, we have:
- Area = 3/8 square units.
Conclusion
The area of the rectangle with a length of 3/4 unit and a width of 1/2 unit is:
- 3/8 square units.
This matches option 'D' as the correct answer.

Understanding Speed, Distance, and Time
To solve the problem of how far a train travels at a speed of 60 km/h in 1/4 of an hour, we need to understand the relationship between speed, distance, and time.
Formula for Distance
The basic formula to calculate distance is:
- Distance = Speed × Time
Given Values
- Speed of the train = 60 km/h
- Time = 1/4 hour
Calculating the Distance
Now, we can plug the values into the formula:
- Distance = 60 km/h × (1/4) h
To simplify this, multiply:
- Distance = 60 × 1/4 = 60/4 = 15 km
Conclusion
Therefore, the train will travel a distance of 15 km in 1/4 of an hour.
So, the correct answer is option 'C' - 15 km.

Understanding Division of Fractions
When dividing fractions, you multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by flipping its numerator and denominator.
Step-by-Step Calculation
1. Identify the Fractions:
- First fraction: 1/3
- Second fraction: 5/3
2. Find the Reciprocal:
- The reciprocal of 5/3 is 3/5.
3. Multiply the First Fraction by the Reciprocal:
- (1/3) * (3/5)
4. Multiply the Numerators and Denominators:
- Numerator: 1 * 3 = 3
- Denominator: 3 * 5 = 15
5. Simplify the Result:
- The result is 3/15, which simplifies to 1/5.
Final Answer
Thus, 1/3 ÷ 5/3 equals 1/5, which corresponds to option 'C'.
Conclusion
The correct answer to the question is indeed C) 1/5. Understanding how to divide fractions using the reciprocal method is crucial for solving similar problems in mathematics.