NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev

Mathematics (Maths) Class 7

Created by: Praveen Kumar

Class 7 : NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev

The document NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev is a part of the Class 7 Course Mathematics (Maths) Class 7.
All you need of Class 7 at this link: Class 7

Exercise 2.3 
Ques 1: Find: 
(i) 1/4 of (a) 1/4 (b) 3/5 (c) 4/3
(ii) 1/7 of (a) 2/9 (b) 6/5 (c) 3/10

Ans: 
(i) (a) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(b)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(c)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev

(ii) (a)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(b)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(c)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev


Ques 2: Multiply and reduce to lowest form (if possible): 
(i) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(ii)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(iii)NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(iv)NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(v) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(vi)NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(vii)NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev

Ans:
(i) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(ii) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(iii) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(iv) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(v) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(vi) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(vii) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev


Ques 3: Multiply the following fractions: 

(i) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(ii)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(iii) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(iv)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(v)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(vi)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(vii)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev

Ans: 
(i) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(ii) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(iii)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(iv)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(v)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(vi) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(vii)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev


Ques 4: Which is greater: 
(i) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(ii) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev

Ans: 
(i)NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
⇒  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
⇒   NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
⇒   NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev

NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(ii)NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev

NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev

Ques 5: Saili plants 4 saplings in a row in her garden. The distance between two adjacent saplings is 3/4 m. Find the distance between the first and the last sapling. 
Ans: The distance between two adjacent saplings = 3/4 m
Saili planted 4 saplings in a row, then number of gap in saplings = 3
NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
Therefore,
The distance between the first and the last saplings  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
Thus the distance between the first and the last saplings is NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev

Ques 6: Lipika reads a book forNCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRevhours everyday. She reads the entire book in 6 days. How many hours in ail were required by her to read the book?
Ans: Time taken by Lipika to read a book = NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRevhours
She reads entire book in 6 days.
Now, total hours taken by her to read the entire book  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
Thus, 10 hours were required by her to read the book.  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev

Ques 7: A car runs 16 km using 1 litre of petrol. How much distance will it cover using  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRevof petrol?
Ans: In 1 litre of pertrol, car covers the distance = 16 km
In NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRevlitres of petrol, car covers the distance =  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
Thus, the car will cover 44 km distance.

Ques 8: (a) (i) Provide the number in the box NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(ii) The simplest form of the number obtained in NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(b) (i) Provide the number in the box NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(ii) The simplest form of the number obtained in NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
Ans: 
NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(ii) The simplest form NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev

(ii) The simplest form NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev

Exercise 2.4 
Question 1:
Find: 
(i) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(ii)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(iii)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(iii)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(iv)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(v)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev

Ans: 
(i) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(ii)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(iii)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(iv)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(v)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(vi)   NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev


Ques 2: Find the reciprocal of each of the following fractions. Classify the reciprocals as proper fraction, improper fractions and whole numbers. 
(i) 3/7 
(ii) 5/
(iii) 9/7
(iv) 6/5
(v) 12/7
(vi) 1/8
(vii) 1/11
Ans: 
(i)NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(ii)NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(iii)NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(iv)NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(v)NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(vi)NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(vii)NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev

Question 3: 
Find: 
(i)NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(ii) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(iii)NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(iv)NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(vi) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(vi)NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
Ans: 
(i) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(ii)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(iii)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(iv) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(v) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(vi)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev

Ques 4: 
Find: 
(i) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(ii)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(iii)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(iv)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(v)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(vi)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(vii)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(viii)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev

Ans 4: 
(i) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(ii)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(iii)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(iv) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(v)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(vi)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(vii)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(viii) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev

Exercise 2.5 
Ques 1: Which is greater: 
(i) 0.5 or 0.05 
(ii) 0.7or 0.5 
(iii) 7 or 0.7
(iv) 1.37 or 1.49 
(v)  3.03 or 2.30 
(vi) 0.8 or 0.88
Ans: 
(i)  0.5 > 0.05    
(ii)  0.7 > 0.5
(iii) 7 >0.7
(iv) 1.37 <1.49
(v)  2.03 < 2.30
(vi) 0.8 <0.88

Ques 2: Express as rupees using decimals: 
(i) 7 paise 
(ii) 7 rupees 7 paise 
(iii) 77 rupees 77 paise 
(iv) 50 paise 
(v) 235 paise 
Ans: 
NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(i)NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(ii) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(iii) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(iv) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(v) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev


Ques 3: (i) Express 5 cm in metre and kilometer. 
(ii) Express 35 mm in cm, m and km. 
Ans: 
(i) Express 5 cm in meter and kilometer.
∵ 100 cm = 1 meter
∴ 1 cm = 1/100 meter
⇒ 5 cm = 5/100 = 0.05 meter
Now,
∴ 1000 meters = 1 kilometers
∴ 1 meters = 1/1000 kilometer
⇒ 0.05 meter = 0.05/1000 = 0.00005 kilometer
(ii) Express 35 mm in cm, m and km.
∵ 10 mm = 1 cm
∴ 1 mm  = 1/10 cm
⇒ 35 mm = 35/100 = 3.5 cm
Now, ∵ 100 cm = 1 meter
∴ 1 cm = 1/100 meter
⇒ 3.5 cm  = 3.5/100 = 0.035 meter
Again,
∵ 1000 meters = 1 kilometers
∴ 1 meter = 1/1000 kilometers
⇒ 0.035 meter = 0.035/1000 = 0.000035 kilometer

Ques 4:  Express in kg. 
(i) 200 g 
(ii) 3470 g 
(iii) 4 kg 8 g 
Ans: 
Let us consider, 1000 g = 1 kg

NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(i) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(ii) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(iii)  4kg 8 g = NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev= 5 kg + 0.008 kg = 4.005 kg

Ques 5: Write the following decimal numbers in the expanded form: 
(i) 20.03 
(ii) 2.03 
(iii) 200.03 
(iv) 2.034 
Ans: 
(i) NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(ii)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(iii)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(iv)  NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev


Ques 6: 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
Ans: 
(i) Place value of 2 in 2.56 = 2 x 1 = 2 ones
(ii)  Place value of 2 in 21.37 = 2 x 10 = 2 tens
(iii) Place value of 2 in 10.25 NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(iv) Place value of 2 in 9.42 NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
(v) Place value of 2 in 63.352 NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev

Ques 7: 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? 
NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev
Ans: 
NCERT Solutions(Part - 2) - Fractions and Decimals Class 7 Notes | EduRev

Distance travelled by Dinesh when he went from place A to place B = 7.5 km and from place B to C = 12.7 km.
Total distance covered by Dinesh = AB + BC
= 7.5 + 12.7
= 20.2 km
Total distance covered by Ayub = AD + DC
= 9.3 + 11.8
= 21.1 km
On comparing the total distance of Ayub and Dinesh,
21.1 km > 20.2 km
Therefore, Ayub covered more distance by 21.1 – 20.2 = 0.9 km = 900 m

Ques 8: Shyam 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? 
Ans: Total weight of fruits bought by Shyam = 5 kg 300 g + 3 kg 250 g = 8 kg 550 g
Total weight of fruits bought by Sarala = 4 kg 800 g + 4 kg 150 g = 8 kg 950 g
On comparing the quantity of fruits, 8 kg 550 g < 8 kg 950 g
Therefore, Sarala bought more fruits.

Ques: How much less is 28 km than 42.6 km? 
Ans: We have to find the difference of 42.6 km and 28 km.
Difference = 42.6 – 28.0 = 14.6 km
Therefore 14.6 km less is 28 km than 42.6 km.

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