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Chapter 7: Fractions

    Introduction

    A Fraction

    Fraction on the Number Line

    Proper Fractions

    Improper and Mixed Fractions

    Equivalent Fractions

    Like Fractions and Unlike Fractions

    Comparing Fractions

    Addition and Subtraction of Fractions

    Exercise 7.1

    Exercise 7.2

    Exercise 7.3

    Exercise 7.4

    Exercise 7.5

    Exercise 7.6

    What Have We Discussed ?

    Enhanced Curriculum Support

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Chapter 7: Fractions > Enhanced Curriculum Support

Enhanced Curriculum Support

This is a comprehensive educational resource designed to provide students with the tools and guidance necessary to excel. This support system is structured to cater to various aspects of learning, ensuring that students are well-prepared for academic challenges and practical applications of mathematical concepts. Some are the key benefits are mentioned below:

1.Comprehensive Learning: This holistic approach helps students gain a thorough understanding of the subject. Practical Application: The resources encourage students to apply mathematical concepts to real-life scenarios, enhancing their practical understanding and problem-solving skills.

2.Critical Thinking and Reasoning: Value-Based and HOTS questions promote critical thinking and reasoning abilities. These skills are crucial for students to tackle complex problems and make informed decisions.

3.Exam Preparedness: Sample Question Papers and NCERT Exemplar Solutions provide ample practice for exams. They help students familiarize themselves with the exam format and types of questions, reducing exam anxiety.

4.Ethical and Moral Development: Value-Based Questions integrate ethical and moral lessons into the learning process, helping in the overall development of students' character and social responsibility. By incorporating these diverse elements, Enhanced Curriculum Support aims to provide a robust and well-rounded knowledge, preparing students for both academic success and real-world challenges.

About the Section

Sec A

1. Compare 34 and 58. Which is greater?

2. Add 712 and 518. Simplify the answer.

3. Subtract 910 from 75.

4. Find the reciprocal of 47 and check if it is greater than 35.

5. A ribbon is 56m long. How much length remains if 23m is used?

6. Express 358 as an improper fraction.

Sec B

1.Subtract from 234 512. Express your answer as a mixed fraction.

2. Simplify: 710 + 315 x 56.

3. A rope of length 815 m is cut into two pieces such that one piece is 25m long. Find the length of the other piece.

4. If 49 of a tank is filled in 6 minutes, how much of the tank will be filled in 9 minutes?

5. A recipe requires 34 cup of sugar for one serving. How much sugar is needed for 223servings?

Sec C

1.A farmer owns 78 of an acre of land. He sells 512 of it. What fraction of the land remains unsold?

2. Raj has 35 of a bag of flour. He used 14 of it for making bread and 13 of it for making cookies. How much flour is left?

3. If 79 of a work is completed in 14 hours, how much time will it take to complete the remaining work?

4. A tank is 38 full of water. Another 25 of the tank's capacity is added. What fraction of the tank is now full?

5. A plank of wood is 234m long. If it is divided into 5 equal parts, find the length of each part.

Sec D

1. Ram and Shyam shared a pizza. Ram ate 58 of it, and Shyam ate 35. How much pizza did they eat in total? Who ate more and by how much?

2. If a bus covers 34 of its total route in 6 hours, how much time will it take to cover the remaining route?

3. A cylindrical tank is 47 full of water. After using 13 of the total capacity, how much water remains in the tank?

4. A car tank can hold 45 of its fuel capacity. If the capacity is 50 liters, how much fuel is in the tank? How much more is needed to fill the tank?

About the Section

Problem 1

Meera baked a cake and cut it into 12 equal slices. She gave 14 of the cake to a poor child in her neighborhood.

1. How many slices did Meera give away?

2. What value does her action reflect?

Problem 2

During a festival, a farmer donated 35of his harvest to a food bank and kept the rest for his family.

1. What fraction of the harvest did he keep for his family?

2. What values does the farmer demonstrate?

About the Section

Q1

A box contains 20 chocolates. Shruti takes 34 of the chocolates and shares half of them with her friends.

1. How many chocolates does Shruti share with her friends?

2. If she decides to distribute an equal number of chocolates to 5 friends, how many chocolates will each friend get?

Q2

A community center organized a food drive where volunteers collected 25 of the required food on the first day and 310 on the second day.

1. What fraction of the food is still to be collected?

2. What values do the volunteers’ efforts promote?

About the Section

Questions

1. Simplify 812.

2. Write 34 and 56 in the lowest terms.

3. Convert 254 into a mixed fraction.

4. Convert 235 into an improper fraction.

5. Compare 710 and 58 using <,>,=.

6. Find the value of 23 + 14.

7. Subtract 512 from 79.

8. Multiply 37 and 25.

9. Divide 710 by 35.

10. Finf the reciprocal of 49.

11. Arrange 58,712,916 in ascending order.

12. Solve 323 + 256 - 112.

13. A rectangular garden has a length of 113meters and a width of 52meters. Find its area.

14. A bag contains 25kg of sugar. How much sugar will 6 such bags contain?

15. Raju bought 78liters of milk. He used 512 liters to make curd. How much milk is left?

16. A school collected 34 of its total goal of 240 kg of paper for recycling on the first day. How much paper is left to collect?

17. A water tank is filled up to 35 of its capacity, which is 400 liters. After using 14of the water, how much water remains?

About the Section

Q1

A class of 30 students participated in a quiz competition. Out of the total, 25 of the students answered the first question correctly, 310 of the students answered the second question correctly, and 16 of the students answered both questions correctly.

Questions:

1. How many students answered only the first question correctly?

2. How many students answered only the second question correctly?

Sol 1

Solution :

1. Students who answered the first question correctly: 25 × 30 = 12.

Students who answered both questions correctly: 16 × 30 = 5.

Students who answered only the first question correctly: 12 - 5 = 7.

2. Students who answered the second question correctly:310 × 30 = 9.

Students who answered both questions correctly: 5.

Students who answered only the second question correctly: 9 − 5 = 4.