All questions of Fractions for Class 6 Exam

If 2 glasses of juice are shared equally among 3 friends, each friend gets 2/3 of a glass. This is calculated by dividing the total juice by the number of friends: 2 ÷ 3 = 2/3.

The correct order from smallest to largest is 1/4, 1/3, and 1/2 because as the denominator decreases, the fraction increases.

2/3 divided by 2 equals 1/3, so each person gets 1/3 cup.

When one roti is divided equally among four children, each child gets 1/4 of the roti. This is because the whole roti is divided into four equal parts.

1/3 is greater than 1/5, 1/9, and 1/12 because the denominator is smaller, meaning the parts are larger.

If you keep 3 parts, you have 3/5 of the rope.

If you eat 1/4 of 3/4 pizza, you subtract the fractions: 3/4 - 1/4 = 2/4, which simplifies to 1/2.

Each part represents 1/3 of the strip when folded into 3 equal parts.

Understanding the Cake Division
To determine how many pieces of cake can be cut from a whole cake when each piece is of size 1/6, we need to analyze the fractions involved.
Whole Cake Representation
- A whole cake can be represented as 1 (or 1 whole).
- Each piece we want to cut is 1/6 of the whole cake.
Calculating the Number of Pieces
- To find out how many 1/6 pieces can fit into 1 whole, we divide 1 by 1/6.
- Dividing by a fraction is equivalent to multiplying by its reciprocal.
- Therefore, 1 ÷ (1/6) = 1 * (6/1) = 6.
Conclusion
- This calculation shows that you can cut 6 pieces of size 1/6 from a whole cake.
- Thus, the correct answer is option 'B'.
Summary of Key Points
- A whole cake is 1.
- Each piece size is 1/6.
- Number of pieces = 1 ÷ (1/6) = 6.
- Correct answer: B (6 pieces).
Understanding this concept is crucial for grasping basic fractions and division, especially in real-life scenarios like sharing food.

When folded into 4 equal parts, each part represents 1/4 of the whole strip.

2/4 is equivalent to 1/2 because both represent the same portion of the whole.

3 children will get 3 × 1/4 = 3/4 of the cake.

Understanding Equivalent Fractions
Equivalent fractions are different fractions that represent the same value or proportion of a whole. To find an equivalent fraction, you can multiply or divide both the numerator (the top number) and the denominator (the bottom number) by the same non-zero number.
Analyzing the Given Fraction: 2/5
The fraction 2/5 means that out of 5 equal parts, 2 parts are being considered. To find an equivalent fraction, let's multiply both the numerator and denominator by 2.
- Calculation:
- Numerator: 2 * 2 = 4
- Denominator: 5 * 2 = 10
So, 2/5 is equivalent to 4/10.
Evaluating the Options
Now, let’s evaluate the options provided:
- Option a: 4/10
- As shown above, 2/5 = 4/10 (This is correct).
- Option b: 3/5
- This is not equivalent to 2/5, as it represents a larger proportion.
- Option c: 1/5
- This fraction represents a smaller proportion than 2/5.
- Option d: 2/10
- Simplifying 2/10 gives us 1/5, which is not equivalent to 2/5.
Conclusion
Thus, the correct answer is Option a: 4/10. This fraction is indeed equivalent to 2/5, demonstrating the concept of equivalent fractions clearly. Understanding this concept is crucial in mastering fractions and their applications.

5/8 - 1/8 = 4/8, which simplifies to 1/2.