NCERT Solutions for Class 6 Maths Chapter 7 - Fractions Exercise 7.4

Find the lengths of the various blue lines shown below. Fill in the boxes as well.

1. Here, the fractional unit is dividing a length of 1 unit into three equal parts. Write the fraction that gives the length of the blue line in the box or in your notebook.

Answer:

2. Here, a unit is divided into 5 equal parts. Write the fraction that gives the length of the blue lines in the respective boxes or in your notebook.

Answer:

3. Now, a unit is divided into 8 equal parts. Write the appropriate fractions in your notebook​

Answer:

$\dfrac{2}{8}$

$\dfrac{3}{8}$​

$\dfrac{4}{8}$​

$\dfrac{5}{8}$

$\dfrac{6}{8}$​

$\dfrac{7}{8}$​

$\frac{8}{8}$​

Figure it Out

1. On a number line, draw lines of lengths $\dfrac{1}{10}$, $\dfrac{3}{10}$​, and $\dfrac{4}{5}5$.

Answer: On the number line, draw lines corresponding to the lengths $\frac{1}{10}$​, $\dfrac{3}{10}$​, and $\dfrac{4}{5}$​. These can be marked by dividing the number line into 10 equal parts and placing the fractions accordingly.

2. Write five more fractions of your choice and mark them on the number line.

Five more fractions you can mark on the number line could be $\dfrac{1}{2}$​, $\dfrac{3}{5}$​, $\dfrac{7}{10}$​, $\dfrac{9}{10}$​, and 1. Mark these fractions on the number line by dividing it further if necessary.

3. How many fractions lie between 0 and 1? Think, discuss with your classmates, and write your answer.

Between 0 and 1, there are an infinite number of fractions, as you can always divide any segment of the number line into smaller parts. Examples include $\dfrac{1}{2}$​, $\dfrac{1}{3}$​, $\dfrac{2}{3}$​, $\dfrac{4}{5}$​, and many more.

4. What is the length of the blue line and black line shown below? The distance between 0 and 1 is 1 unit long, and it is divided into two equal parts. The length of each part is 12\frac{1}{2}21​. So the blue line is 12\frac{1}{2}21​ units long. Write the fraction that gives the length of the black line in the box.

Answer: 

The blue line is $\dfrac{1}{2}$​ units long.

The black line is 2 units long. The fraction for the length of the black line is $\dfrac{2}{1}$​.

5. Write the fraction that gives the lengths of the black lines in the respective boxes.

Answer: The fractions for the lengths of the black lines in the respective boxes are:

Benefits of NCERT Solutions for Class 6 Maths Chapter 7 Exercise 7.4 Fractions

• Simplifies complex ideas with clear explanations, making it easier for students to understand equivalent fractions. This helps them feel less confused.

• Uses visual aids like diagrams and number lines to show concepts clearly, helping students see how fractions work. This approach supports different ways of learning.

• Improves problem-solving skills through practice questions that encourage students to use what they've learned. This helps them think critically and face real-life problems.

• Builds confidence for exams by providing practice and familiar questions. This makes students feel more relaxed when taking tests.

• Strengthens understanding of fractions, giving students a good base for more difficult maths topics in the future. This prepares them for what’s next.

• Helps students get ready for future maths topics by reinforcing key ideas in fractions. This makes it easier to move on to more complex subjects later.

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 7.4 on Fractions offer valuable support for students learning about equivalent fractions. With clear explanations, helpful visual aids, and plenty of practice questions, these solutions make understanding fractions easier and more enjoyable. By using these resources, students can build a strong foundation in maths, boost their confidence for exams, and prepare effectively for future topics. Overall, Vedantu's solutions are a great way for students to enhance their learning and succeed in their studies.

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-