Question

Q.1. Evaluate: (3/4 - 4/5)

Q.2. Evaluate: (-7) from (-4/7)

Q.3. Subtract the sum of (-36/11) and 49/22 from the sum of 33/8 and (-19/4).

Q.4. What should be added to (-12/5) to get 3?​

Answer 1

Step-by-step explanation:

First we have to find the sum of (-36/11) and (49/22) = (-36/11) + (49/22) LCM of 11 and 22 is 22 Express each of the given rational numbers with the above LCM as the common denominator. Now, = [(-36×2)/ (11×2)] = (-72/22) = [(49×1)/ (22×1)] = (49/22) Then, = (-72/22) + (49/22) = (-72+49)/22 = (-23/22) Now we have to find the sum of (33/8) and (-19/4) = (33/8) + (-19/4) LCM of 8 and 4 is 8 Express each of the given rational numbers with the above LCM as the common denominator. Now, = [(33×1)/ (8×1)] = (33/8) = [(-19×2)/ (4×2)] = (-38/8) Then, = (33/8) + (-38/8) = (33-38)/8 = (-5/8) Now, = (-5/8) – (-23/22) We have: = (-5/8) – (-23/22) = (-5/8) + (additive inverse of -23/22) = (-5/8) + (23/22) LCM of 8 and 22 is 88 Express each of the given rational numbers with the above LCM as the common denominator. Now, = [(-5×11)/ (8×11)] = (-55/88) = [(23×4)/ (22×4)] = (92/88) Then, = (-55/88) + (92/88) = (-55+92)/88 = (37/88)Read more on Sarthaks.com - https://www.sarthaks.com/746257/subtract-the-sum-of-36-11-and-49-22-from-the-sum-of-33-8-and-19-4