# NCERT Solutions for Class 6 Maths Chapter 7 Exercise 7.2

NCERT Solutions for Class 6 Maths Chapter 7 Exercise 7.2 (Ex. 7.2) Fractions in PDF file format free to download for offline use or use online without downloading. 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 Maths Chapter 7 Exercise 7.2 Solution

### CBSE NCERT Class 6 Maths Chapter 7 Exercise 7.2 Solution in Hindi and English Medium

Class: 6 | Mathematics |

Chapter: 7 | Fractions |

Exercise: 7.2 | Hindi and English Medium Solution |

### Class 6 Maths Chapter 7 Exercise 7.2 Solution in Videos

#### 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 |

#### Types of Fractions

##### 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.

##### 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.

### 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.