Practice the questions given in the worksheet on rational expressions involving sum and difference. The questions are based on simplifying rational expressions involving addition and subtraction.
1. Using the rearrangement property find the sum:
(i) 4/3 + 3/5 + 2/3 + 11/5
(ii) 8/3 + 1/4 + 11/6 + 3/8
(iii) 13/20 + 11/14 + 5/7 + 7/10
(iv) 6/7 + 5/6 + 4/9 + 15/7
2. Simplify the expressions:
(i) 3/2 + 5/4  7/4
(ii) 5/3 – 7/6 + (2)/3
(iii) 5/4  7/6  (2)/3
(iv) 2/5  (3)/10  (4)/7
(v) 5/6 + (2)/5  (2)/10
(vi) 3/8 – (2)/9 + (5)/36
3. What should be added to (2/3 + 3/5) to get 2/15?
4. What should be added to (1/2 + 1/3 + 1/5) to get 3?
5. What should be subtracted from (3/4  2/3) to get 1/6?
Answers for the worksheet on rational expressions involving the sum or difference are given below to check the exact answers of the above questions.
Answers:
1. (i) 14/15
(ii) 35/8
(iii) 17/140
(iv) 77/18
2. (i) 2
(ii) 1/6
(iii) 3/4
(iv) 33/70
(v) 17/30
(vi) 11/24
3. 7/5
4. 59/30
5. 1/4
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● Rational Numbers
Introduction of Rational Numbers
Is Every Rational Number a Natural Number?
Is Every Rational Number an Integer?
Is Every Rational Number a Fraction?
Equivalent form of Rational Numbers
Rational Number in Different Forms
Properties of Rational Numbers
Lowest form of a Rational Number
Standard form of a Rational Number
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Comparison of Rational Numbers
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Rational Numbers in Descending Order
Representation of Rational Numbers on the Number Line
Rational Numbers on the Number Line
Addition of Rational Number with Same Denominator
Addition of Rational Number with Different Denominator
Properties of Addition of Rational Numbers
Subtraction of Rational Number with Same Denominator
Subtraction of Rational Number with Different Denominator
Subtraction of Rational Numbers
Properties of Subtraction of Rational Numbers
Rational Expressions Involving Addition and Subtraction
Simplify Rational Expressions Involving the Sum or Difference
Multiplication of Rational Numbers
Properties of Multiplication of Rational Numbers
Rational Expressions Involving Addition, Subtraction and Multiplication
Reciprocal of a Rational Number
Rational Expressions Involving Division
Properties of Division of Rational Numbers