NCERT Solutions Class 7 Mathematics
Chapter – 2 (Fractions and Decimals)
The NCERT Solutions in English Language for Class 7 Mathematics Chapter – 2 Fractions and Decimals Exercise 2.3 has been provided here to help the students in solving the questions from this exercise.
Chapter : 2 Fractions and Decimals
- NCERT Solution Class 7 Maths Exercise – 2.1
- NCERT Solution Class 7 Maths Exercise – 2.2
- NCERT Solution Class 7 Maths Exercise – 2.4
- NCERT Solution Class 7 Maths Exercise – 2.5
- NCERT Solution Class 7 Maths Exercise – 2.6
- NCERT Solution Class 7 Maths Exercise – 2.7
Exercise – 2.3
1. Find:
(i) of (a)
(b)
(c)
(ii) of (a)
(b)
(c)
Solution –
(i) (a) of
= =
(b) of
= ×
=
(c) of
= ×
=
(ii) (a) of
= ×
=
(b) of
= ×
=
(c) of
= ×
=
2. Multiply and reduce to lowest form (if possible):
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
Solution –
(i)
= =
=
(ii)
=
(iii)
= =
(iv)
= =
(v)
=
(vi)
= =
(vii)
= =
3. Multiply the following fractions:
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
Solution –
(i)
= =
=
(ii)
= =
=
(iii)
= = 8
(iv)
= =
=
(v)
= =
=
(vi)
= =
=
(vii)
= =
=
=
4. Which is greater?
(i) of
or
of
(ii) of
or
of
Solution –
(i) of
or
of
= ×
or
×
= ×
=
×
=
= ×
=
LCM of 14 and 8 is 56
=
=
=
=
Clearly,
<
Hence,
of
<
of
(ii) of
or
of
= ×
or
×
= ×
=
= ×
=
Clearly,
>
Hence,
of
>
of
5. Saili plants 4 saplings, in a row, in her garden. The distance between two adjacent saplings is ¾ m. Find the distance between the first and the last sapling.
Solution –
Number of saplings = 4
The distance between two adjacent saplings = ¾ m
∴ Distance between the first and the last sapling = ¾ + ¾ + ¾ + ¾
= m =
m
Hence, the distance between the first and the last saplings is m.
6. Lipika reads a book for 1 ¾ hours every day. She reads the entire book in 6 days. How many hours in all were required by her to read the book?
Solution –
Lipika reads the book for = hours every day =
hours.
Number of days she took to read the entire book = 6 days
∴ Total number of hours required by her to complete the book = 6 × = 3 ×
=
=
hours
Hence, the total number of hours required by her to complete the book is hours.
7. A car runs 16 km using 1 litre of petrol. How much distance will it cover using litres of petrol.
Solution –
The total number of distance travelled by a car in 1 liter of petrol = 16 km
Total quantity of petrol = liter =
liters
Total number of distance travelled by car in liters of petrol = 16 ×
= 4 × 11 = 44 km
∴ Total number of distance travelled by car in liters of petrol is 44 km.
8. (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 ______.
Solution –
(a) (i) provide the number in the box [ ], such that × [ ] =
.
× [ ] =
⇒ [] =
⇒ [] = =
∴ The required number in the box is
(ii) The simplest form of the number obtained in [ ] is ____.
The number in the box is
Then,
The simplest form of is ½
(b) (i) provide the number in the box [ ], such that × [ ] =
× [ ] =
⇒ [ ] =
⇒ [ ] = =
∴ The required number in the box is .
(ii) The simplest form of the number obtained in [ ] is ______.
The number in the box is
Then, The simplest form of is
.
