Solve the following: 14 17 - 3 17

Given, 14 17 - 3 17 We know that, To subtract the rational numbers with the same denominator, subtract add their numerators keeping the common denominator as such. 14 17 - 3 17 = 14 - 3 17 = 11 17 Hence, the required answer is 11 17 .

Solve the following: 2 7 + 5 49

Given, 2 7 + 5 49 We know that, To add the rational numbers with the different denominator, take LCM of denominators and convert into equivalent rational number. The LCM of denominators 7 , 49 is 49 . Now, 2 7 = 2 7 × 7 7 = 14 49 , 5 49 = 5 49 × 1 1 = 5 49 2 7 + 5 49 = 14 49 + 5 49 = 14 + 5 49 = 19 49 Hence, the required answer is 19 49 .

Solve the following: 7 16 - 3 8

Given, 7 16 - 3 8 We know that, To subtract the rational numbers with the different denominator, take LCM of denominators and convert into equivalent rational number. The LCM of denominators 16 , 8 is 16 . Now, 7 16 = 7 16 × 1 1 = 7 16 , 3 8 = 3 8 × 2 2 = 6 16 7 16 - 3 8 = 7 16 - 6 16 = 7 - 6 16 = 1 16 Hence, the required answer is 1 16 .

Solve the following: 5 3 + 3 5

Given, 5 3 + 3 5 We know that, To add the rational numbers with the different denominator, take LCM of denominators and convert into equivalent rational number. The LCM of denominators 3 , 5 is 15 . Now, 5 3 = 5 3 × 5 5 = 25 15 , 3 5 = 3 5 × 3 3 = 9 15 5 3 + 3 5 = 25 15 + 9 15 = 25 + 9 15 = 34 15 Hence, the required answer is 34 15 .

Solve the following: 7 100 - 9 200

Given, 7 100 - 9 200 We know that, To subtract the rational numbers with the different denominator, take LCM of denominators and convert into equivalent rational number. The LCM of denominators 100 , 200 is 200 . Now, 7 100 = 7 100 × 2 2 = 14 200 , 9 200 = 9 200 × 1 1 = 9 100 7 100 - 9 200 = 14 200 - 9 200 = 14 - 9 200 = 5 200 Hence, the required answer is 5 200 .

Solve the following: 4 49 - 11 63

Given, 4 49 - 11 63 We know that, To subtract the rational numbers with the different denominator, take LCM of denominators and convert into equivalent rational number. The LCM of denominators 49 , 63 is 441 . Now, 4 49 = 4 49 × 9 9 = 36 441 , 11 63 = 11 63 × 7 7 = 77 441 4 49 - 11 63 = 36 441 - 77 441 = 36 - 77 441 = - 41 441 Hence, the required answer is - 41 441 .

E M B I B E

Excellence in Mathematics>Chapter 2 - Fractional and Rational Numbers>ASSIGNMENT 2.1

Dr. Sanjeev Verma and R.K. Tyagi Solutions for Chapter: Fractional and Rational Numbers, Exercise 1: ASSIGNMENT 2.1

Author:Dr. Sanjeev Verma & R.K. Tyagi

Dr. Sanjeev Verma Mathematics Solutions for Exercise - Dr. Sanjeev Verma and R.K. Tyagi Solutions for Chapter: Fractional and Rational Numbers, Exercise 1: ASSIGNMENT 2.1

Attempt the practice questions on Chapter 2: Fractional and Rational Numbers, Exercise 1: ASSIGNMENT 2.1 with hints and solutions to strengthen your understanding. Excellence in Mathematics solutions are prepared by Experienced Embibe Experts.