![If 𝑥/3 + 𝑥/5 = 16/15, find the rational number 𝑥 [Ganita Manjari I] - End-of-Chapter Exercises](https://cdn.teachoo.com/3ce00249-1c6b-452e-bded-980579efaa04/slide73.jpg)
Question 8 - End-of-Chapter Exercises - Chapter 3 Class 9 - The World of Numbers (Ganita Manjari I)
Last updated at May 12, 2026 by Teachoo
End-of-Chapter Exercises
Question 1
Important
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Class 9
Chapter 3 Class 9 - The World of Numbers (Ganita Manjari I)
- The Human Need to Count
- Exercise Set 3.1
- The Revolution of Śhūnya
- Integers
- Exercise Set 3.2
- Rational Numbers
- Exercise Set 3.3
- Rational Numbers on the Number Line
- Absolute Value of a Rational Number
- Rational Numbers between two Rational numbers
- Exercise Set 3.4
- Irrational Numbers
- Construction of Length √n on Number line
- The Story of Pi (π) and Madhava’s Infinite Series
- Real Numbers & Imaginary Numbers
- Decimal Expansion of Real Numbers
- Magic of Cyclic Numbers
- Constructing a Square Root Spiral
- Exercise Set 3.5
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End-of-Chapter Exercises
Transcript
Question 8 If 𝑥/3+𝑥/5=16/15, find the rational number 𝑥. Now, 𝑥/3+𝑥/5=16/15 𝒙 × (𝟏/𝟑+𝟏/𝟓)=𝟏𝟔/𝟏𝟓 𝑥 × ((1 × 5 + 3 × 1)/(3 × 5))=16/15 𝑥 × ((5 + 3)/15)=16/15 𝒙 ×𝟖/𝟏𝟓=𝟏𝟔/𝟏𝟓 𝑥 =16/15 ×15/8 𝑥 =16/15 ×15/8 𝑥 =16/8 ×15/15 𝑥 =2/1 ×1/1 𝒙=𝟐 Thus, rational number x is 2
