by Tiwari Academy
NCERT Solutions for Class 6 Maths Chapter 7 Exercise 7.2 in Hindi and English Medium updated for CBSE 2024-25 exams. All the questions of ex. 7.2 class 6 Maths are revised according to rationalised syllabus and new NCERT Books for academic session 2024-25.
6th Maths Exercise 7.2 Solutions in Hindi and English Medium
Class 6 Maths Chapter 7 Exercise 7.2 Solution
Class VI Mathematics NCERT (https://ncert.nic.in/) textbook Ex. 7.2 Fractions in PDF file format free to download for offline use or use online without downloading. NCERT Book Videos and PDF Solutions are in Hindi and English Medium given separately free to use. Class 6 Maths exercise 7.2 contains the questions based on mixed fraction to simple format and their algebraic operation. All the questions in ex. 7.2 of 6th mathematics are easy to understand and solve.
| Class: 6 | Mathematics |
| Chapter: 7 | Exercise: 7.2 |
| Topic Name: | Fractions |
| Medium: | Hindi and English Medium |
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Fraction as Division
If 4 bananas are distributed equally among 4 boys, how many bananas does a boy get? Clearly, 4 ÷ 4 = 1. Similarly, if 20 toffees are distributed equally among 5 children then each child will get 20 ÷ 5 = 4 toffees. But if 1 toffee is to be distributed among 5 children, then how many toffees will a child get?
In this case also a child gets 1 ÷ 5, i.e., 1/5
Thus, we conclude that a fraction can be expressed as a division. Conversely, division can be expressed as a fraction.
Class 6 Maths Exercise 7.2 Extra Question with Answer
Find 1/3 of a collection of 21 books.
We can write 1/3 of 21 books = 21 x 1/3 = 21/3 = 7 books
Find 5/9 of a collection of 63 balloons.
We can write 5/9 of 63 balloons = 63 x 5/9 = 615/9 = 35 balloons
Which of the following are proper, improper or mixed fractions? (i) 5/9 (ii) 7/9 (iii) 8/9 (iv) 20/12 (v) 5/27 (vi) 3/7 (vii) 8/13
Like Fractions: (i) 5/9 (iv) 7/9 (vi) 8/9
Unlike Fractions: (ii) 20/12 (iii) 5/27 (vi) 3/7 (vii) 8/13
Representation of Fractions on The Number Line
Let us represent ½ on a number line. In order to represent on the number line, we draw the number line and mark a point A to represent 1. Now, we divide the gap between O and A into two equal parts. Let M be the point of division. Then M represents ½.
| Percent | Decimal | Fraction |
|---|---|---|
| 25% | 0.25 | 1/4 |
| 50% | 0.5 | 1/2 |
| 75% | 0.75 | 3/4 |
| 80% | 0.8 | 4/5 |
| 90% | 0.9 | 9/10 |
Like Fractions:
Fractions having the same denominators are called like fractions.
For example, 4/14, 7/14, 9/14, 12/14 etc. are all like fractions.
Class 6 Maths Exercise 7.2 Important Questions
Why are fractions so important?
Fractions help children understand the nature of numbers and their interactions (e.g., the meaning of division). If a child doesn’t understand how fractions work, it will interfere with his ability to learn algebra later.
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.
Why are fractions difficult for students?
Fraction division is a tough concept because most students divide into a set number of groups. Dividing into “1/2 of a group” is hard to visualize. (Which is why many students make the mistake of dividing by two instead). But groups of 1/2 make more sense.
Unlike Fractions:
Fractions having different denominators are called unlike fractions.
For example, 1/3, 4/5, 3/7, 5/9, 7/12 etc. are all unlike fractions.
How many sums does exercise 7.2 of class 6 Maths contain?
Exercise 7.2 of class 6th Maths contains 2 examples and 3 questions. In question 1, students have to draw the number line first and then locate the given points on them. In question 2, students have to express the given fractions as mixed fractions. In question 3, students have to express the given mixed fractions as improper fractions.
Which problems of exercise 7.2 of class 6th Maths are of the same kind?
Exercise 7.2 of class 6th Maths contains 2 examples and 3 questions. Example 1 and question 2 are of the same type. Example 2 and question 3 are of the same kind. Question 1 is unique.
How many hours are needed to prepare exercise 7.2 of class 6th Maths for the exams?
A maximum of 1 hour is needed to prepare exercise 7.2 of class 6th Maths for the exams because exercise 7.2 has only 3 questions and 2 examples. Exercise 7.2 of class 6th Maths is a very easy exercise. Students can rapidly finish this exercise.
How to score good marks in exercise 7.2 of grade 6 Maths?
In exercise 7.2 of 6th standard Maths, there are only 3 questions and 2 examples. All questions and examples of this exercise are important. So, to score good marks in exercise 7.2 of grade 6th Maths students should practice all problems of this exercise seriously.
