# NCERT Solutions for Class 7 Maths Chapter 2

## Fractions and Decimals Class 7

### Exercise 2.1 : Solutions of Questions on Page Number : 31

Q1 :

Solve:

(i) (ii) (iii)

(iv) (v) (vi)

(vii)

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

Q2 :

Arrange the following in descending order:

(i) (ii)

(i)

Changing them to like fractions, we obtain

Since 42>24>14,

(ii)

Changing them to like fractions, we obtain

As 49 > 30>14,

Q3 :

In a “magic square“, the sum of the numbers in each row, in each column and along the diagonal is the same. Is this a magic square?

 (Along the first row )

Q4 :

A rectangular sheet of paper is cm long and cm wide.

Find its perimeter.

Q5 :

Find the perimeters of (i) ΔABE (ii) the rectangle BCDE in this figure. Whose perimeter is greater?

Q6 :

Salil wants to put a picture in a frame. The picture is cm wide.

To fit in the frame the picture cannot be more thancm wide. How much should the picture be trimmed?

Q7 :

Ritu ate part of an apple and the remaining apple was eaten by her brother Somu. How much part of the apple did Somu eat? Who had the larger share? By how much?

Q8 :

Michael finished colouring a picture in hour. Vaibhav finished colouring the same picture in hour. Who worked longer? By what fraction was it longer?

### Exercise 2.2 : Solutions of Questions on Page Number : 36

Q1 :

Which of the drawings (a) to (d) show:

(i) (ii) (iii) (iv)

(a)

(b)

(c)

(d)

Q2 :

Some pictures (a) to (c) are given below. Tell which of them show:

(i) (ii) (iii)

(a)

(b)

(c)

Q3 :

Multiply and reduce to lowest form and convert into a mixed fraction:

(i) (ii) (iii) (iv)

(v) (vi) (vii) (viii)

(ix) (x)

Q4 :

(i) of the circles in box (a) (ii) of the triangles in box (b)

(iii) of the squares in box (c)

 (a) (b) (c)

Q5 :

Find:

(a) of (i) 24 (ii) 46

(b) of (i) 18 (ii) 27

(c) of (i) 16 (ii) 36

(d) of (i) 20 (ii) 35

Q6 :

Multiply and express as a mixed fraction:

(a) (b)

(c) (d)

(e) (f)

Q7 :

Find (a) of (i) (ii) (b) of (i) (ii)

Q8 :

Vidya and Pratap went for a picnic. Their mother gave them a water bottle that contained 5 litres of water. Vidya consumed of the water. Pratap consumed the remaining water.

(i) How much water did Vidya drink?

(ii) What fraction of the total quantity of water did Pratap drink?

### Exercise 2.3 : Solutions of Questions on Page Number : 41

Q1 :

Find:

(i) of (a) (b) (c)

(ii) of (a) (b) (c)

Q2 :

Multiply and reduce to lowest form (if possible):

(i) (ii) (iii)

(iv) (v) (vi)

(vii)

Q3 :

Multiply the following fractions:

(i) (ii) (iii)

(iv) (v) (vi)

(vii)

Q4 :

Which is greater:

(i) of orof

(ii) of orof

Q5 :

Saili plants 4 saplings, in a row, in her garden. The distance between two adjacent saplings is m. Find the distance between the first and the last sapling.

Q6 :

Lipika reads a book for hours everyday. She reads the entire book in 6 days. How many hours in all were required by her to read the book?

Q7 :

A car runs 16 km using 1 litre of petrol. How much distance will it cover using litres of petrol.

Q8 :

(a) (i) Provide the number in the box , such that .

(ii) The simplest form of the number obtained in is _______.

(b) (i) Provide the number in the box , such that ?

(ii) The simplest form of the number obtained in is _______.

### Exercise 2.4 : Solutions of Questions on Page Number : 46

Q1 :

Find:

(i) (ii) (iii)

(iv) (v) (vi)

Q2 :

Find the reciprocal of each of the following fractions. Classify the reciprocals as proper fractions, improper fractions and whole numbers.

(i) (ii) (iii)

(iv) (v) (vi)

(vii)

Q3 :

Find:

(i) (ii) (iii)

(iv) (v) (vi)

Q4 :

Find:

(i) (ii) (iii)

(iv) (v) (vi)

(vii) (viii)

### Exercise 2.5 : Solutions of Questions on Page Number : 47

Q1 :

Which is greater?

(i) 0.5 or 0.05 (ii) 0.7 or 0.5 (iii) 7 or 0.7

(iv) 1.37 or 1.49 (v) 2.03 or 2.30 (vi) 0.8 or 0.88

Q2 :

Express as rupees using decimals:

(i) 7 paise (ii) 7 rupees 7 paise (iii) 77 rupees 77 paise

(iv) 50 paise (v) 235 paise

Q3 :

(i) Express 5 cm in metre and kilometre

(ii) Express 35 mm in cm, m and km

Q4 :

Express in kg:

(i) 200 g (ii) 3470 g (iii) 4 kg 8 g

Q5 :

Write the following decimal numbers in the expanded form:

(i) 20.03 (ii) 2.03 (iii) 200.03

(iv) 2.034

Q6 :

Write the place value of 2 in the following decimal numbers:

(i) 2.56 (ii) 21.37 (iii) 10.25

(iv) 9.42 (v) 63.352

Q7 :

Dinesh went from place A to place B and from there to place C. A is 7.5 km from B and B is 12.7 km from C. Ayub went from place A to place D and from there to place C. D is 9.3 km from A and C is 11.8 km from D. Who travelled more and by how much?

Q8 :

Shyama bought 5 kg 300 g apples and 3 kg 250 g mangoes. Sarala bought 4 kg 800 g oranges and 4 kg 150 g bananas. Who bought more fruits?

Q9 :

How much less is 28 km than 42.6 km?

### Exercise 2.6 : Solutions of Questions on Page Number : 52

Q1 :

Find:

(i) 0.2 x 6 (ii) 8 x 4.6 (iii) 2.71 x 5

(iv) 20.1 x 4 (v) 0.05 x 7 (vi) 211.02 x 4

(vii) 2 x 0.86

Q2 :

Find the area of rectangle whose length is 5.7 cm and breadth is 3 cm.

Q3 :

Find:

(i) 1.3 x 10 (ii) 36.8 x 10 (iii) 153.7 x 10

(iv) 168.07 x 10 (v) 31.1 x 100 (vi) 156.1 x 100

(vii) 3.62 x 100 (viii) 43.07 x 100 (ix) 0.5 x 10

(x) 0.08 x 10 (xi) 0.9 x 100 (xii) 0.03 x 1000

Q4 :

A two-wheeler covers a distance of 55.3 km in one litre of petrol. How much distance will it cover in 10 litres of petrol?

Q5 :

Find:

(i) 2.5 x 0.3 (ii) 0.1 x 51.7 (iii) 0.2 x 316.8

(iv) 1.3 x 3.1 (v) 0.5 x 0.05 (vi) 11.2 x 0.15

(vii) 1.07 x 0.02 (viii) 10.05 x 1.05 (ix) 101.01 x 0.01

(x) 100.01 x 1.1

### Exercise 2.7 : Solutions of Questions on Page Number : 55

Q1 :

Find:

(i) 0.4 ÃƒÂ· 2 (ii) 0.35 ÃƒÂ· 5 (iii) 2.48 ÃƒÂ· 4

(iv) 65.4 ÃƒÂ· 6 (v) 651.2 ÃƒÂ· 4 (vi) 14.49 ÃƒÂ· 7

(vii) 3.96 ÃƒÂ· 4 (viii) 0.80 ÃƒÂ· 5

Q2 :

Find:

(i) 4.8 ÃƒÂ· 10 (ii) 52.5 ÃƒÂ· 10 (iii) 0.7 ÃƒÂ· 10

(iv) 33.1 ÃƒÂ· 10 (v) 272.23 ÃƒÂ· 10 (vi) 0.56 ÃƒÂ· 10

(vii) 3.97 ÃƒÂ· 10

Q3 :

Find:

(i) 2.7 ÃƒÂ· 100 (ii) 0.3 ÃƒÂ· 100 (iii) 0.78 ÃƒÂ· 100

(iv) 432.6 ÃƒÂ· 100 (v) 23.6 ÃƒÂ· 100 (vi) 98.53 ÃƒÂ· 100

Q4 :

Find:

(i) 7.9 ÃƒÂ· 1000 (ii) 26.3 ÃƒÂ· 1000 (iii) 38.53 ÃƒÂ· 1000

(iv) 128.9 ÃƒÂ· 1000 (v) 0.5 ÃƒÂ· 1000

Q5 :

Find:

(i) 7 ÃƒÂ· 3.5 (ii) 36 ÃƒÂ· 0.2 (iii) 3.25 ÃƒÂ· 0.5

(iv) 30.94 ÃƒÂ· 0.7 (v) 0.5 ÃƒÂ· 0.25 (vi) 7.75 ÃƒÂ· 0.25

(vii) 76.5 ÃƒÂ· 0.15 (viii) 37.8 ÃƒÂ· 1.4 (ix) 2.73 ÃƒÂ· 1.3

Q6 :

A vehicle covers a distance of 43.2 km in 2.4 litres of petrol. How much distance will it cover in one litre of petrol?