# NCERT Solutions for Class 6 Maths Chapter 7 Exercise 7.6

NCERT Solutions for Class 6 Maths Chapter 7 Exercise 7.6 (Ex. 7.6) Fractions in Hindi Medium and English Medium for new academic session 2021-2022. All the solutions are free to use without any login or password.

In exercise 7.6 of class VI mathematics questions are based on addition and subtraction taking LCM of denominator. Applications based on addition and subtraction of rational number is also given here for practice.

## Class 6 Maths Chapter 7 Exercise 7.6 Solution

• ### CBSE NCERT Class 6 Maths Chapter 7 Exercise 7.6 Solution in Hindi and English Medium

 Class: 6 Mathematics Chapter: 7 Fractions Exercise: 7.6 Video and PDF Solution

### Class 6 Maths Chapter 7 Exercise 7.6 Solution in Videos

Class 6 Maths Chapter 7 Exercise 7.6 Solution
Class 6 Maths Chapter 7 Exercise 7.6 Explanation

#### Addition and Subtraction of Fractional Numbers

Examples
Add: (i) 1/7 + 4/7, (ii) 4/15 + 5/15 + 2/15
(i) 1/7 + 4/7 = (1 + 4)/7 = 5/7
(ii) 4/15 + 5/15 + 2/15 = (4 + 5 + 2)/15 = 11/15

To add unlike fractions, we first convert them into like fractions and then add them as usual.
The LCM of the denominators 4 and 10 is 20. We convert the fractions into equivalent fractions with denominator 20.
¾ = (3 x 5)/ (4 x 5) = 15/20 and 1/10 = (1 x 2)/ (10 x 2) = 2/20
Now 15/20 + 2/20 = 17/20
Thus, the sum of 3/4 and 1/10 is 17/20

#### Subtraction of Like Fractions

To subtract like fractions, we simply subtract the numerators of the given fractions. The number thus obtained becomes the numerator of the required fraction and the denominator of this fraction is common denominator of the given fractions.

Examples:
Subtract 4/13 from 9/13.
We can write 9/13 – 4/13 = 5/13

#### Subtraction of Unlike Fractions

To subtract unlike fractions, we first convert them into like fractions and then subtract as usual.
Examples:
Subtract 5/11 from 2/3.
We can write 2/3 – 5/11 = 5/13
We convert the given fractions into equivalent fractions with denominator 33.
5/11 = (5 x 3)/ (11 x 3) = 15/33 and 2/3 = (2 x 11)/ (3 x 11) = 22/33
Now, 22/33 – 15/33 = 7/33
Thus, the difference between 2/3 and 5/11 is 7/33.

### Class 6 Maths Exercise 7.6 Important Questions

##### How do you add fractions with unlike denominators?

Here’s the way to do it:
(i) Cross-multiply the two fractions and add the results together to get the numerator of the answer.
(ii) Multiply the two denominators together to get the denominator of the answer.

##### Simplify: 5/8 + 2/5 + ¾

The LCM of denominators 8, 5 and 4 is 40. We convert the given fractions into equivalent fractions with denominator 40.
5/8 = (5 x 5)/(8 x 5) = 25/40
2/5 = (2 x 8)/ (5 x 8) = 16/40
¾ = (3 x 10)/ (4 x 10) = 30/40
Now, 25/40 + 16/40 + 30/40 = 71/40
Thus, the sum of 5/8, 2/5 and ¾ is 71/40

##### What is a mixed number?

A mixed number is a number consisting of a whole number and a proper fraction.

##### How to subtract fractions with different denominators?

Step 1: Find the least common denominator. Find the least common denominator (LCD) of the fractions.
Step 2: Find the equivalent fraction.
Step 3: Subtract the new numerators.
Step 4: Simplify if necessary.

##### How do we multiply fractions?

The first step when multiplying fractions is to multiply the two numerators. The second step is to multiply the two denominators. Finally, simplify the new fractions. The fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.

##### Are there any important example in exercise 7.6 of Class 6 Maths?

There are 6 examples (examples 8, 9, 10, 11, 12, 13) in exercise 7.6 of grade 6th Maths. Examples 8, 11, and 13 are the most important examples and can come in the exams also. Examples 8, 9, and 10 are of the same type. Examples 11, 12, and 13 are of the same kind.

##### Which problems of exercise 7.6 of 6th standard Maths can the teacher give in the unit test?

There are 6 examples (examples 8, 9, 10, 11, 12, 13) and nine questions in exercise 7.6 of grade 6th Maths. Questions 3, 4, 5, 7, and 9 are the most significant questions of exercise 7.6 and have a full chance to come in the unit test.

##### How many days are required to prepare exercise 7.6 of grade 6th Maths for exams?

At most 1-2 days are required to prepare exercise 7.6 of grade 6th Maths for exams. This time is an approximate time and can vary. This time can increase or decrease according to student’s and teacher’s working speed, efficiency, etc.

##### Is exercise 7.6 chapter 7 of class 6 Maths simple to solve and understand?

Exercise 7.6 (chapter 7 Fractions) of class 6th Maths is the easiest exercise. All questions and illustrations of this exercise are straightforward. Children enjoy doing this exercise. But difficulty level of any topic/question varies from child to child. So, Exercise 7.6 (chapter 7 Fractions) of class 6th Maths is easy or not depends on children also. Some children find it difficult, and some find it easy.        