The World of Numbers Class 9 Mathematics Ganita Manjari [LATEST] Solutions Exercise Set 3.3 in English - CBSE Study
NCERT Solutions for Class 9 Mathematics Ganita Manjari are carefully prepared according to the latest CBSE syllabus and NCERT textbooks to help students understand every concept clearly. These solutions cover all important The World of Numbers with detailed explanations and step-by-step answers for better exam preparation. Each Exercise Set 3.3 is explained in simple language so that students can easily grasp the fundamentals and improve their academic performance. The study material is designed to support daily homework, revision practice, and final exam preparation for Class 9 students. With accurate answers, concept clarity, and structured content, these NCERT solutions help learners build confidence and score higher marks in their examinations. Whether you are revising a specific topic or preparing an entire chapter, this resource provides reliable and syllabus-based guidance for complete success in Mathematics Ganita Manjari.
Class 9 English Medium Mathematics Ganita Manjari All Chapters:
The World of Numbers
3. Exercise Set 3.3
EXERCISE SET 3.3 (SOLVED)
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Prove that the following rational numbers are equal:
(i) 2/3 and 4/6
4/6 = 2÷2 / 6÷2 = 2/3
Hence equal.
(ii) 5/4 and 10/8
10/8 = 10÷2 / 8÷2 = 5/4
Hence equal.
(iii) -3/5 and -6/10
-6/10 = -6÷2 / 10÷2 = -3/5
Hence equal.
(iv) 9/3 and 3
9/3 = 3
Hence equal.
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Find the sum:
(i) 2/5 + 3/10
= 4/10 + 3/10
= 7/10
(ii) 7/12 + 5/8
LCM = 24
= 14/24 + 15/24
= 29/24
(iii) -4/7 + 3/14
= -8/14 + 3/14
= -5/14
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Find the difference:
(i) 5/6 - 1/4
LCM = 12
= 10/12 - 3/12
= 7/12
(ii) 11/8 - 3/4
= 11/8 - 6/8
= 5/8
(iii) -7/9 - (-2/3)
= -7/9 + 2/3
= -7/9 + 6/9
= -1/9
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Find the product:
(i) 2/3 × 3/10
= 6/30
= 1/5
(ii) 7/11 × 5/8
= 35/88
(iii) -4/7 × 5/14
= -20/98
= -10/49
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Find the quotient:
(i) 2/3 ÷ 3/10
= 2/3 × 10/3
= 20/9
(ii) 7/11 ÷ 5/8
= 7/11 × 8/5
= 56/55
(iii) -4/7 ÷ 5/14
= -4/7 × 14/5
= -8/5
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Show that:
(1/2 + 3/4) × 8/3 = 1/2 × 8/3 + 3/4 × 8/3
LHS:
= (2/4 + 3/4) × 8/3
= 5/4 × 8/3
= 10/3
RHS:
= 4/3 + 2
= 10/3
Hence LHS = RHS.
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Simplify using distributive property:
7/9 (6/7 - 3/4)
= 7/9 × 6/7 - 7/9 × 3/4
= 2/3 - 7/12
= 8/12 - 7/12
= 1/12
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Find the rational number x:
5/6 (x + 3/5) = 5/6 x + 1/2
LHS:
= 5x/6 + 5/6 × 3/5
= 5x/6 + 1/2
Hence proved.
Source File: turn0file0
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