Question

(-4)×(-11/8)×(16/-11)×(1/7)​

Answer 1

Answer:

-2/3 * 3/5 + 5/2 – 3/5 * 1/6

   = -2/3 * 3/5 – 3/5 * 1/6 + 5/2             [Using associative property]

   = 3/5 * (-2/3 – 1/6) + 5/2                    [Using distributive property]

   = 3/5 * {(-4 - 1)/6} + 5/2                      [LCM (3, 2) = 6] 

   = 3/5 * (-5/6) + 5/2

   = -3/6 + 5/2

   = -1/2 + 5/2

   = (-1 + 5)/2

   = 4/2

   = 2             

(ii) 2/5 * (3/-7) – 1/6 * 3/2 + 1/14 * 2/5

    = 2/5 * (-3/7) + 1/14 * 2/5 – 1/6 * 3/2               [Using associative property]

    = 2/5 * (-3/7 + 1/14) – 1/2 * 1/2                         [Using distributive property]    

    = 2/5 * {(-6 + 1)/14} – 1/4                                    [LCM (7, 14) = 14] 

    = 2/5 * (-5/14) – 1/4

    = -1/7 – 1/4

    = (-4 -7)/28                                                             [LCM (7, 4) = 28] 

    = -11/28

Answer 2

Answer:

-8/7 is the correct solution