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NCERT solutions for Maths Fractions and Decimals Download as PDF
NCERT Solutions for Class 7 Maths Fractions and Decimals
Class –VII Mathematics (Ex. 2.3)
Question 1.Find:
(i) 14 of
(a) 14
(b) 35
(c) 43
(ii) 17 of
(a) 29
(b) 65
(c) 310
Answer:
(i)
(a) 14 of 14 = 14×14=1×14×4=116
(b) 14 of 35 = 14×34=1×34×4=316
(c) 14 of 43 = 14×43=1×44×3=13
(ii)
(a) 17 of 29 = 17×29=1×27×9=263
(b) 17 of 29 = 17×65=1×67×5=635
(c) 17 of 29 = 17×310=1×37×10=370
NCERT Solutions for Class 7 Maths Exercise 2.3
Question 2.Multiply and reduce to lowest form (if possible):
(i) 23×223
(ii) 27×79
(iii) 38×64
(iv) 95×35
(v) 13×158
(vi) 112×310
(vii) 45×127
Answer:
(i) 23×223=23×83=2×83×3=169=179
(ii) 27×79=2×77×9=29
(iii) 38×64=3×68×4=3×38×2=916
(iv) 95×35=9×35×5=2725=1225
(v) 13×158=1×153×8=1×51×8=58
(vi) 112×310=11×32×10=3320=1320
(vii) 45×127=4×125×7=4835=11335
NCERT Solutions for Class 7 Maths Exercise 2.3
Question 3.Multiply the following fractions:
(i) 25×514
(ii) 625×79
(iii) 32×513
(iv) 56×237
(v) 325×47
(vi) 235×3
(vii) 347×35
Answer:
(i) 25×514=25×214=2×215×4=1×215×2=2110=2110
(ii) 625×79=325×79=32×75×9=22445=44445
(iii) 32×513=32×163=486=8
(iv) 56×237=56×177=8542=2142
(v) 325×47=177×47=6835=13335
(vi) 235×3=135×31=13×35×1=395=745
(vii) 347×35=257×35=5×37×1=157=217
NCERT Solutions for Class 7 Maths Exercise 2.3
Question 4.Which is greater:
(i)27 of 34 or 35 of 58
(ii)12 of 67 or 23 of 37
Answer:
(i) 27 of 34 or 35 of 58 ⇒ 27 x 34 or 35 x 58
⇒ 314 or 38 ⇒ 314<38
Thus, 35 of 58 is greater.
(ii) 12 of 67 or 23 of 37 ⇒ 12 x 67 or 23 x 37
⇒ 37 or 27 ⇒ 37>27
Thus, 12 of 67 is greater.
NCERT Solutions for Class 7 Maths Exercise 2.3
Question 5.Saili plants 4 saplings in a row in her garden. The distance between two adjacent saplings is 34 m. Find the distance between the first and the last sapling.
Answer:
The distance between two adjacent saplings = 34 m
Saili planted 4 saplings in a row, then number of gap in saplings
Therefore, the distance between the first and the last saplings = 3×34 = 94 m = 214 m
Thus the distance between the first and the last saplings is 214 m.
NCERT Solutions for Class 7 Maths Exercise 2.3
Question 6.Lipika reads a book for 134 hours everyday. She reads the entire book in 6 days. How many hours in all were required by her to read the book?
Answer:
Time taken by Lipika to read a book = 134 hours.
She reads entire book in 6 days.
Now, total hours taken by her to read the entire book = 134×6 = 74×6=212=1012 hours
Thus 10 hours were required by her to read the book.
NCERT Solutions for Class 7 Maths Exercise 2.3
Question 7.A car runs 16 km using 1 litre of petrol. How much distance will it cover using 234 litres of petrol?
Answer:
In 1 litre of pertrol, car covers the distance = 16 km
In 234 litres of petrol, car covers the distance = 234 of 16 km = 114×16 = 44 km
Thus, car will cover 44 km distance.
NCERT Solutions for Class 7 Maths Exercise 2.3
Question 8.(a) (i) Provide the number in the box , such that 23× =1030.
(ii) The simplest form of the number obtained in is __________.
(b) (i) Provide the number in the box , such that 35× =2475.
(ii) The simplest form of the number obtained in is __________.
Answer:
(a)
(i) 23×510=1030
(ii) The simplest form of 510 is 12.
(b)
(i) 35×815=2475
(ii) The simplest form of 815 is 815.
NCERT Solutions for Class 7 Maths Exercise 2.3
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