NCERT Solutions for Class 6 Maths Chapter 7 - Fractions Exercise 7.5

Exercise 7.5

Questions 1: How many whole units are there in $\dfrac{7}{2}$​?

Answer: 27​ has 3 whole units and a remaining fraction of $\dfrac{1}{2}$​.

Questions 2: How many whole units are there in $\dfrac{4}{3}$​ and $\dfrac{7}{3}$​?

Answer:

• 4​ has 1 whole unit and $\dfrac{1}{3}$​ remaining.

• $\dfrac{7}{3}$​ has 2 whole units and $\dfrac{1}{3}$​ Remaining

Figure it Out:

1. Figure out the number of whole units in each of the following fractions:

a. $\dfrac{8}{3}$​
b. $\dfrac{11}{5}$​
c. $\dfrac{9}{4}$​

Answer: 

a. $\dfrac{8}{3}$ has 2 whole units and $\dfrac{2}{3}$ remaining.
b. $\frac{11}{5}$​ has 2 whole units and $\dfrac{1}{5}$​ remaining.
c. $\frac{9}{4}$​ has 2 whole units and $\dfrac{1}{4}$​ remaining.

2. Can all fractions greater than 1 be written as such mixed numbers?

Answer: Yes, all fractions greater than 1 can be written as mixed numbers, which include a whole number part and a fractional part.

2. Write the following fractions as mixed fractions (e.g., $\dfrac{9}{2}$ = 4 $\dfrac{1}{2}$​):

$\dfrac{8}{3}$​

$\dfrac{11}{5}$​

$\dfrac{19}{4}$​

$\dfrac{47}{9}$​

$\dfrac{12}{5}$​

$\dfrac{19}{6}$​

Answer:

$\dfrac{8}{3}$​ = 2 $\dfrac{2}{3}$

$\dfrac{11}{5}$ =2​ $\dfrac{1}{5}$

$\dfrac{19}{4}$​ =4 $\dfrac{3}{4}$

$\dfrac{47}{9}$​ =5 $\dfrac{2}{9}$

$\dfrac{12}{5}$​ =2 $\dfrac{2}{5}$

$\dfrac{19}{6}$​ =3 $\dfrac{1}{6}$

Figure it Out

1. ​Write the following mixed numbers as fractions:

a. 3 $\dfrac{1}{4}$
b. 7$ \dfrac{2}{3}$​
c. 9$ \dfrac{4}{9}$​
d. 3$ \dfrac{1}{6}$​
e. 2$ \dfrac{3}{11}$​
f. $3 \dfrac{9}{10}$

Answer:

a. 3 $\dfrac{1}{4}$ = $\dfrac{13}{4}$
b. 7$ \dfrac{2}{3}$​ = $\dfrac{23}{3}$​
c.9$ \dfrac{4}{9}$​  = $\dfrac{85}{9}$​
d. 3$ \dfrac{1}{6}$​  = $\dfrac{19}{6}$​
e. 2$ \dfrac{3}{11}$ = $\dfrac{25}{11}$​
f. $3 \dfrac{9}{10}$ = $\dfrac{39}{10}$​

Benefits of NCERT Solutions for Class 6 Maths Chapter 7 Exercise 7.5 Fractions

• Easy to Understand: The solutions explain mixed fractions in a simple way, making it easier for students to learn the concept.

• Step-by-Step Solutions: Each problem is solved with clear steps, so students can follow along easily.

• Builds Confidence: With regular practice, students will gain confidence in solving mixed fractions on their own.

• Prepares for Future Topics: Understanding mixed fractions now helps students handle more advanced topics in later classes.

• Supports Independent Learning: The solutions are designed so that students can study and practice on their own.

• Helps with Exam Practice: These solutions give students the practice they need to feel ready for exams.

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 7.5 offer clear and simple explanations to help students understand mixed fractions. The step-by-step solutions make it easy to convert improper fractions to mixed fractions and vice versa. With plenty of practice questions, these solutions help build confidence and strengthen the foundational concepts needed for future maths topics. By using these solutions, students can enhance their understanding and perform better in exams.

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-