Mathematics becomes easier and more enjoyable when you have the right guidance and learning materials. RD Sharma is one of the most trusted books for Class 7 students. If you are learning rational numbers, then RD Sharma class 7 chapter 5 Operations on Rational Numbers is very important for you. This chapter helps you understand how to perform different operations like addition, subtraction, multiplication, and division on rational numbers. To make your learning journey easier, we have prepared RD Sharma class 7 solutions chapter 5 Operations on Rational Numbers in simple and easy-to-understand steps.
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Also Check: RD Sharma Solutions for Class 7 Maths
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You can easily download RD Sharma solutions for Class 7 Maths Chapter 5 Operations on Rational Numbers and start practicing anytime. These solutions are available in a simple PDF format, which makes it very easy to read and understand. With the RD Sharma Class 7 Chapter 5 Operations on Rational Numbers PDF, you can study offline without any internet connection. It is very helpful for quick revision before exams. The solutions include step-by-step explanations for all questions, so you will never feel confused while solving problems. By downloading the Class 7 Maths Chapter 5 Operations on Rational Numbers PDF, you can learn all the topics like addition, subtraction, multiplication, and division of rational numbers in a simple way.
Access to the Class 7 Chapter 5 Operations on Rational Numbers Solutions
Exercise 5.1
Q1. Add the following rational numbers:
(i) (-5/7) + (3/7) = (-2/7)
Explanation: Both numbers have the same denominator. Add the numerators: (-5 + 3) = -2. Final answer = -2/7.
(ii) (-15/4) + (7/4) = -2
Explanation: Same denominator. (-15 + 7) = -8. Simplified answer = -8/4 = -2.
(iii) (-8/11) + (-4/11) = (-12/11)
Explanation: Denominator same, add numerators: (-8) + (-4) = -12.
(iv) (6/13) + (-9/13) = (-3/13)
Explanation: Denominator same, 6 + (-9) = -3.
Q2. Add the following rational numbers:
(i) (3/4) + (-3/5) = (3/20)
Explanation: LCM of 4 and 5 is 20. (3×5 + (-3)×4)/20 = (15 - 12)/20 = 3/20.
(ii) -3 + (3/5) = (-12/5)
Explanation: Rewrite -3 as -3/1. LCM of 1 and 5 is 5. (-3×5 + 3×1)/5 = (-15 + 3)/5 = -12/5.
(iii) (-7/27) + (11/18) = (19/54)
Explanation: LCM of 27 and 18 is 54. (-7×2 + 11×3)/54 = (-14 + 33)/54 = 19/54.
(iv) (31/-4) + (-5/8) = (-67/8)
Explanation: LCM of -4 and 8 is 8. (31×-2 + (-5))/8 = (-62 - 5)/8 = -67/8.
Q3. Simplify:
(i) (8/9) + (-11/6) = (-17/18)
LCM of 9 and 6 = 18.
(ii) (-5/16) + (7/24) = (-1/48)
LCM of 16 and 24 = 48.
(iii) (1/-12) + (2/-15) = (-13/60)
LCM of 12 and 15 = 60.
(iv) (-8/19) + (-4/57) = (-28/57)
LCM of 19 and 57 = 57.
Q4. Add and convert to mixed fraction:
(i) (-12/5) + (43/10) = (19/10) = 1(9/10)
(ii) (24/7) + (-11/4) = (19/28)
(iii) (-31/6) + (-27/8) = (-205/24) = -8(13/24)
Exercise 5.2
Q1. Subtract the first number from the second:
(i) (5/8) - (3/8) = (1/4)
(ii) (4/9) - (-7/9) = (11/9)
(iii) (-9/11) - (-2/11) = (-7/11)
(iv) (-4/13) - (11/13) = (-15/13)
Q2. Evaluate:
(i) (2/3) - (3/5) = (1/15)
(ii) (-4/7) - (2/-3) = (2/21)
(iii) (4/7) - (5/7) = (-1/7)
(iv) -2 - (5/9) = (-23/9)
Q3. Find the missing number when sum is (5/9) and one number is (1/3):
x + (1/3) = (5/9)
x = (5/9) - (1/3) = (2/9)
Q4. Find the missing number when sum is (-1/3) and one number is (-12/3):
x + (-12/3) = (-1/3)
x = (-1/3) + (12/3) = (11/3)
Q5. Find the other number when sum is (-4/3) and one number is -5:
x + (-5) = (-4/3)
x = (-4/3) + 5 = (11/3)
Q6. Find the other number when sum is -8 and one number is (-15/7):
x + (-15/7) = -8
x = -8 + (15/7) = (-41/7)
Q7. Find the number to add to (-7/8) to get (5/9):
x = (5/9) + (7/8) = (103/72)
Q8. Find the number to add to (-5/11) to get (26/33):
x = (26/33) + (5/11) = (41/33)
Q9. Find the number to add to (-5/7) to get (-2/3):
x = (-2/3) + (5/7) = (1/21)
Q10. Find the number to subtract from (-5/3) to get (5/6):
(-5/3) - x = (5/6)
x = (-15/6)