NCERT Solutions  Class 7 Maths Chapter 9  Rational Numbers
CBSE Solutions  Maths Class 7
Check the below NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers Pdf free download. NCERT Solutions Class 7 Maths were prepared based on the latest exam pattern. We have Provided Rational Numbers Class 7 Maths NCERT Solutions to help students understand the concept very well.
NCERT  Class 7 Maths
Book:  National Council of Educational Research and Training (NCERT) 

Board:  Central Board of Secondary Education (CBSE) 
Class:  7th 
Subject:  Maths 
Chapter:  9 
Chapters Name:  Rational Numbers 
Medium:  English 
Rational Numbers  Class 7 Maths  NCERT Books Solutions
NCERT Solutions for Class 7 Maths Chapte 9 Rational Numbers Exercise 9.1
Ex 9.1 Class 7 Maths Question 1.
List five rational numbers between(i) 1 and 0
(ii) 2 and 1
(iii) \(\frac { 4 }{ 5 } \) and \(\frac { 2 }{ 3 } \)
(iv) –\(\frac { 1 }{ 2 } \) and \(\frac { 2 }{ 3 } \)
Solution:
Ex 9.1 Class 7 Maths Question 2.
Write four more rational numbers in each of the following patterns :Solution:
Ex 9.1 Class 7 Maths Question 3.
Give four rational numbers equivalent to(i) \(\frac { 2 }{ 7 } \)
(ii) \(\frac { 5 }{ 3 } \)
(iii) \(\frac { 4 }{ 9 } \)
Solution:
Ex 9.1 Class 7 Maths Question 4.
Draw the number line and represent the following rational numbers on it :(i) \(\frac { 3 }{ 4 } \)
(ii) \(\frac { 5 }{ 8 } \)
(iii) \(\frac { 7 }{ 4 } \)
(iv) \(\frac { 7 }{ 8 } \)
Solution:
(i) In order to represent \(\frac { 3 }{ 4 } \) on the number line, we first draw a number line and mark a point O on it to represent zero. Now, mark the point P representing 3 on the number line as shown. Now, divide the segment OP into four equal parts. Let A, B, C be the points of division so that OA = AB =BC = CP. By construction, OA is three fourth of OP. So, A represents the rational number \(\frac { 3 }{ 4 } \)(ii) In order to represent \(\frac { 5 }{ 8 } \) on the number line, we first draw a number line and mark a point O on it to represent zero. Now, mark the point P representing 5 on it as shown. Now, divide the segment OP into eight equal parts. Let A, B, C, D, E, F, G be the points of division such that OA = AB = BC = CD = DE = EF = FG = GP. By construction, OA is oneeighth of OP. So, A represents the rational number \(\frac { 5 }{ 8 } \).
(iii) In order to represent \(\frac { 7 }{ 4 } \) on the number line, we first draw a number line and mark a point O on it to represent zero. Now, mark a point P to represent 7 on the number line. Now,divide the segment OP into 4 equal parts. Let A, B, C be the points of division so that OA = AB = BC = CP. By construction, OA is onefourth of OP. Therefore, A represents the rational number \(\frac { 7 }{ 4 } \).
(iv) In order to represent \(\frac { 7 }{ 8 } \) on the number line, we first draw a number line and mark a point O on it to represent zero. Now, mark the point P to represent 7 on the number line. Now, divide the segment OP into 8 equal parts. Let A, B, C, D, E, F, G be the points of division such that OA = AB = BC = CD = DE = EF = FG = GP. By construction, OA is oneeighth of OP. Therefore, A represents the rational number \(\frac { 7 }{ 8 } \).
Ex 9.1 Class 7 Maths Question 5.
The points P, Q, R, S, T, U, A, and B on the number line are such that, TR = RS = SU and AP = PQ = QB. Name the rational numbers represented by P, Q, R, and S.Solution:
Ex 9.1 Class 7 Maths Question 6.
Which of the following pairs represents the same rational number?Solution:
Ex 9.1 Class 7 Maths Question 7.
Rewrite the following rational numbers in the simplest form :(i) \(\frac { 8 }{ 6 } \)
(ii) \(\frac { 25 }{ 45 } \)
(iii) \(\frac { 44 }{ 72 } \)
(iv) \(\frac { 8 }{ 10 } \)
Solution:
Ex 9.1 Class 7 Maths Question 8.
Fill in the boxes with the correct symbol out of >, <, and =.Solution:
(i) Clearly, \(\frac { 5 }{ 7 } \) is a negative rational number and \(\frac { 2 }{ 3 } \) is a positive rational number. We know that every negative rational number is less than every positive rational number. Therefore,(ii) Clearly, denominators of the given rational numbers are positive. The denominators are 5 and 7. Their L.C.M. is 35. So, we first express each rational number with 35 as a common denominator.
(iii) First we write each one of the given rational numbers with a positive denominator.
Clearly, denominator of \(\frac { 7 }{ 8 } \) is positive.
The denominator of \(\frac { 14 }{ 16 } \) is negative.
So, we express it with a positive denominator as follows:
(iv) Clearly, the denominators of the given rational numbers are positive. The denominators are 5 and 4.
Their L.C.M. is 20. So, we first express each rational number with 20 as a common denominator.
(v) First we write each one of the given rational numbers with a positive denominator.
Clearly, denominator of \(\frac { 1 }{ 3 } \) is negative.
So, expressing it with a positive denominator as follows:
(vi) First we write each one of the given rational numbers with a positive denominator.
(vii) Since every negative rational number is less than 0,
Ex 9.1 Class 7 Maths Question 9.
Which is greater in each of the following :(i) \(\frac { 2 }{ 3 } \),\(\frac { 5 }{ 2 } \)
(ii) \(\frac { 5 }{ 6 } \),\(\frac { 4 }{ 3 } \)
(iii) \(\frac { 3 }{ 4 } \),\(\frac { 2 }{ 3 } \)
(iv) \(\frac { 1 }{ 4 } \),\(\frac { 1 }{ 4 } \)
(v) 3\(\frac { 2 }{ 7 } \),3\(\frac { 4 }{ 5 } \)
Solution:
Ex 9.1 Class 7 Maths Question 10.
Write the following rational numbers in ascending order :Solution:
NCERT Solutions for Class 7 Maths Chapte 9 Rational Numbers Exercise 9.2
Ex 9.2 Class 7 Maths Question 1.
Find the sum :Solution:
Ex 9.2 Class 7 Maths Question 2.
Find :Solution:
Ex 9.2 Class 7 Maths Question 3.
Find the product :Solution:
Ex 9.2 Class 7 Maths Question 4.
Find the value of :Solution:
NCERT Class 7 Maths
Class 7 Maths Chapters  Maths Class 7 Chapter 9
NCERT Solutions for Class 7 Maths
NCERT Solutions of Maths Class 7 Chapterwise
Chapterwise NCERT Solutions for Class 7 Maths

NCERT Solutions For Class 7 Maths Chapter 1 Integers
NCERT Solutions For Class 7 Maths Chapter 2 Fractions and Decimals
NCERT Solutions For Class 7 Maths Chapter 3 Data Handling
NCERT Solutions For Class 7 Maths Chapter 4 Simple Equations
NCERT Solutions For Class 7 Maths Chapter 5 Lines and Angles
NCERT Solutions For Class 7 Maths Chapter 6 The Triangles and its Properties
NCERT Solutions For Class 7 Maths Chapter 7 Congruence of Triangles
NCERT Solutions For Class 7 Maths Chapter 8 Comparing Quantities
NCERT Solutions For Class 7 Maths Chapter 9 Rational Numbers
NCERT Solutions For Class 7 Maths Chapter 10 Practical Geometry
NCERT Solutions For Class 7 Maths Chapter 11 Perimeter and Area
NCERT Solutions For Class 7 Maths Chapter 12 Algebraic Expressions
NCERT Solutions For Class 7 Maths Chapter 13 Exponents and Powers
NCERT Solutions For Class 7 Maths Chapter 14 Symmetry
NCERT Solutions For Class 7 Maths Chapter 15 Visualising Solid Shapes
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