NCERT Solution For Class 7 Maths – Fractions And Decimals

NCERT Solutions is known as an extremely helpful resource for preparing for the exam. Takshila Learning provides its learners with access to a wealth of NCERT problems and their solutions. CBSE Class 7 Science NCERT Solutions are built by subject matter experts, so be sure to train learners for a good grade. The questions set out in the NCERT

NCERT Solution For Class 7 Maths – Integers provides us with all-inclusive information on all concepts. As students would have to learn the basics about the subject in class 7, this curriculum for class 7 is comprehensive study material, which explains the concepts in a great way.

Questions Covered : 

Question 1 : Solve:
(i)2-3/5 (ii)4+7/8 (iii)3/5+2/7
(iv)9/11-4/15 (v)7/10+2/5+3/2 (vi)2 2/3+3 1/2
(vii)8 1/2-3 5/8

Question 2 : Arrange the following in descending order:
(i)2/9,2/3,8/21 (ii)1/5,3/7,7/10

Question 3 : 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?
4/11 9/11 2/11 (Along the first row 4/11+9/11+2/11=15/11)
3/11 5/11 7/11
8/11 1/11 6/11

Question 4 : A rectangular sheet of paper is cm long and cm wide.
Find its perimeter.

Question 5 : Find the perimeters of (i) ΔABE (ii) the rectangle BCDE in this figure. Whose perimeter is greater?

Question 6 : Salil wants to put a picture in a frame. The picture is cm wide.
To fit in the frame the picture cannot be more than cm wide. How much should the picture be trimmed?

Question 7 : 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?

Question 8 : Michael finished colouring a picture in hour. Vaibhav finished colouring the same picture in hour. Who worked longer? By what fraction was it longer?

Question 9 : Which of the drawings (a) to (d) show:

Question 10 : Some pictures (a) to (c) are given below. Tell which of them show:

Question 11 : Multiply and reduce to lowest form and convert into a mixed fraction:

Question 12 : Shade:
(i) of the circles in box (a) (ii) of the triangles in box (b)
(iii) of the squares in box (c)

Question 13 : Find:
(a) 1/2 of (i) 24 (ii) 46
(b) 2/3 of (i) 18 (ii) 27
(c) 3/4 of (i) 16 (ii) 36
(d) 4/5 of (i) 20 (ii) 35

Question 14 : Multiply and express as a mixed fraction:
(a) (b)
(c) (d)
(e) (f)

Question 15 : Find (a) 1/2 of (i)2 3/4 (ii) 4 2/9 (b) 5/8 of (i) 3 5/6 (ii) 9 2/3

Question 16 : 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: 

Question 17 : Find:
(i) of (a) (b) (c)
(ii) of (a) (b) (c)

Question 18 : Multiply and reduce to lowest form (if possible):
(i) (ii) (iii)
(iv) (v) (vi)
(vii)

Question 19 : Multiply the following fractions:
(i) (ii) (iii)
(iv) (v) (vi)
(vii)

Question 20 : Which is greater:
(i) of or of
(ii) of or of

Question 21 : 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.

Question 22 : 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?

Question 23 : A car runs 16 km using 1 litre of petrol. How much distance will it cover using litres of petrol.

Question 24 : (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: 

Question 25 : Find:
(i) (ii) (iii)
(iv) (v) (vi)

Question 26 : Find the reciprocal of each of the following fractions. Classify the reciprocals as proper fractions, improper fractions and whole numbers.

Question 27 : Find:
(i) (ii) (iii)
(iv) (v) (vi)

Question 28 : Find:
(i) (ii) (iii)
(iv) (v) (vi)
(vii) (viii)

Exercise 2.5: 

Question 29 : 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

Question 30 : Express as rupees using decimals:
(i) 7 paise (ii) 7 rupees 7 paise (iii) 77 rupees 77 paise
(iv) 50 paise (v) 235 paise

Question 31 : (i) Express 5 cm in metre and kilometre
(ii) Express 35 mm in cm, m and km

Question 32 : Express in kg:
(i) 200 g (ii) 3470 g (iii) 4 kg 8 g

Question 33 : Write the following decimal numbers in the expanded form:
(i) 20.03 (ii) 2.03 (iii) 200.03
(iv) 2.034

Question 34 : 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

Question 35 : 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?

Question 36 : 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?

Question 37 : How much less is 28 km than 42.6 km?

Exercise 2.6: 

Question 38 : Find:
(i) 0.2 × 6 (ii) 8 × 4.6 (iii) 2.71 × 5
(iv) 20.1 × 4 (v) 0.05 × 7 (vi) 211.02 × 4
(vii) 2 × 0.86

Question 39 : Find the area of rectangle whose length is 5.7 cm and breadth is 3 cm.

Question 40 : Find:
(i) 1.3 × 10 (ii) 36.8 × 10 (iii) 153.7 ×10
(iv) 168.07 × 10 (v) 31.1 × 100 (vi) 156.1 × 100
(vii) 3.62 × 100 (viii) 43.07 × 100 (ix) 0.5 × 10
(x) 0.08 × 10 (xi) 0.9 × 100 (xii) 0.03 × 1000

Question 41 : 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?

Question 42 : Find:
(i) 2.5 × 0.3 (ii) 0.1 × 51.7 (iii) 0.2 × 316.8
(iv) 1.3 × 3.1 (v) 0.5 × 0.05 (vi) 11.2 × 0.15
(vii) 1.07 × 0.02 (viii) 10.05 × 1.05 (ix) 101.01 × 0.01
(x) 100.01 × 1.1

Exercise 2.7: 

Question 43 : Find:
(i) 0.4 ÷ 2 (ii) 0.35 ÷ 5 (iii) 2.48 ÷ 4
(iv) 65.4 ÷ 6 (v) 651.2 ÷ 4 (vi) 14.49 ÷ 7
(vii) 3.96 ÷ 4 (viii) 0.80 ÷ 5

Question 44 : Find:
(i) 4.8 ÷ 10 (ii) 52.5 ÷ 10 (iii) 0.7 ÷ 10
(iv) 33.1 ÷ 10 (v) 272.23 ÷ 10 (vi) 0.56 ÷ 10
(vii) 3.97 ÷ 10

Question 45 : Find:
(i) 2.7 ÷ 100 (ii) 0.3 ÷ 100 (iii) 0.78 ÷ 100
(iv) 432.6 ÷ 100 (v) 23.6 ÷ 100 (vi) 98.53 ÷ 100

Question 46 : Find:
(i) 7.9 ÷ 1000 (ii) 26.3 ÷ 1000 (iii) 38.53 ÷ 1000
(iv) 128.9 ÷ 1000 (v) 0.5 ÷ 1000

Question 47 : Find:
(i) 7 ÷ 3.5 (ii) 36 ÷ 0.2 (iii) 3.25 ÷ 0.5
(iv) 30.94 ÷ 0.7 (v) 0.5 ÷ 0.25 (vi) 7.75 ÷ 0.25
(vii) 76.5 ÷ 0.15 (viii) 37.8 ÷ 1.4 (ix) 2.73 ÷ 1.3

Question 48 : 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?