Question

Find using distributive property
a) 8/9 X 1/2 + -1/3 X 8/9
b) 16/17 X 1/9 + 16/17 X -1/9
c) 1/5 X 1/2 - 1/5 X 3/2
No spamming

Answer 1

Answer:

a) 4/27

b) 0

c) -1/5

Step-by-step explanation:

a) (8/9 X 1/2) + (-1/3 X 8/9)

   = 8/9 [ (1/2) + (-1/3) ]

   = 8/9 [ (1/2) - (1/3) ]

   = 8/9 [ (3 - 2 )/(2*3) ]

   = 8/9 [ 1/6 ]

   = 4/9 [ 1/3 ]

   = 4*1  /  9*3

   = 4/27

b) (16/17 X 1/9) + (16/17 X -1/9)

    = 16/17 [ (1/9) + (-1/9) ]

    = 16/17 [ (1/9) - (1/9) ]

    = 16/17 [ 0 ]

    = 0

c) (1/5 X 1/2) - (1/5 X 3/2)

   = 1/5 [ (1/2) - (3/2) ]

   = 1/5 [ (1-3)/2 ]

   = 1/5 [-2/2 ]

   = 1/5 [-1]

   = -1/5