NCERT Solutions for Class 6 Maths Chapter 7 - Fractions Exercise 7.9

Exercise 7.9

1.  Can you find three different fractional units that add up to 1? It turns out there is only one solution to this problem (up to changing the order of the 3 fractions)! Can you find it? Try to find it before reading further.

Solution: Yes, one solution to the problem of finding three different fractional units that add up to 1 is:

$\dfrac{1}{2} + \dfrac{1}{3} + \dfrac{1}{6} = 1$

This combination works because:

• $\dfrac{1}{2} = \dfrac{3}{6}$​

• $\dfrac{1}{3} = \dfrac{2}{6}$

• $\dfrac{1}{6}$ remains the same.

When you add them together:

$\dfrac{3}{6} + \dfrac{2}{6} + \dfrac{1}{6} = \dfrac{6}{6}$ = 1

So, $\dfrac{1}{2}$, $\dfrac{1}{3}$​, and $\dfrac{1}{6}$​ are the three different fractions that add up to 1.

2.  Can you find four different fractional units that add up to 1? It turns out that this problem has six solutions! Can you find at least one of them? Can you find them all? You can try using similar reasoning as in the cases of two and three fractional units—or find your own method! 

Solution: Here are four different fractional units that add up to 1, along with a few combinations:

One Solution:

1. $\dfrac{1}{2} + \dfrac{1}{3} + \dfrac{1}{6} + \dfrac{1}{6} = 1$

Six Solutions:

1. $\dfrac{1}{2} + \dfrac{1}{3} + \dfrac{1}{6} + \dfrac{1}{6} = 1$

2. $\dfrac{1}{2} + \dfrac{1}{4} + \dfrac{1}{4} + \dfrac{1}{4} = 1$

3. $\dfrac{1}{4} + \dfrac{1}{4} + \dfrac{1}{4} + \dfrac{1}{4} = 1$

4. $\dfrac{1}{2} + \dfrac{1}{4} + \dfrac{1}{4} + \dfrac{1}{4} = 1$

5. $\dfrac{1}{3} + \dfrac{1}{3} + \dfrac{1}{3} + \dfrac{1}{3} = 1$

6. $\dfrac{1}{5} + \dfrac{1}{5} + \dfrac{1}{5} + \dfrac{1}{5} = 1$

Different Combinations of Four Different Fractions:

1. $\dfrac{1}{2} + \dfrac{1}{3} + \dfrac{1}{12} + \dfrac{1}{4} = 1$

2. $\dfrac{1}{4} + \dfrac{1}{4} + \dfrac{1}{4} + \dfrac{1}{4} = 1$

3. $\dfrac{1}{5} + \dfrac{1}{10} + \dfrac{1}{10} + \dfrac{1}{10} = 1$

Benefits of NCERT Solutions for Class 6 Maths Chapter 7 Exercise 7.9 Fractions

• The solutions make learning fractions less complicated by breaking down difficult concepts.

• Real-world examples in the exercise make it easier for students to relate maths to their daily activities.

• Students can learn independently with these clear and straightforward explanations.

• The practice questions are designed to build a strong foundation in fractions, helping students master the basics.

• The solutions cover all key points, ensuring students don’t miss out on any important concepts for exams.

• Working through these problems helps reduce errors and boosts accuracy in solving fraction-related questions.

Class 6 Maths Chapter 7: Exercises Breakdown

Important Study Material Links for Class 6 Maths Chapter 7 - Fractions

Conclusion

Vedantu’s NCERT Solutions for Class 6 Maths Chapter 7 Exercise 7.9 provide clear and easy-to-follow explanations, helping students understand the practical applications of fractions. This exercise, titled A Pinch of History, helps students connect math with real-life situations, making learning more engaging. With step-by-step solutions and practice problems, students can strengthen their understanding of fractions and improve their problem-solving skills. These solutions are a valuable resource for exam preparation and building a strong foundation in math for future topics.

Chapter-Specific NCERT Solutions for Class 6 Maths

The chapter-wise NCERT Solutions for Class 6 Maths are given below. Go through these chapter-wise solutions to be thoroughly familiar with the concepts.

Related Important Links for Class 6 Maths 

Along with this, students can also download additional study materials provided by Vedantu for Maths Class 6-