Question

verify the property 3/5*(-9/5*-9/11)=(2/5*-5/9)*-9/11

Answer 1

Step-by-step explanation:

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Adam Osborne

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Answer 2

Answer:

Using appropriate properties, find:

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

Answer:

(i) -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