Question

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Answer 1

Step-by-step explanation:

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Answer 2

Answer:

1) a) -12/35

b) 1/32

c) -2/3

2) Other number = -12 4/5

3) The rational numbers are

The rational numbers are -5/8, -3/8, -1/6, 1/6

4) 11/19

Step-by-step explanation:

1)

a) 3/7 ÷ -5/4

= 3/7 × 4/-5

= 12/-35

= -12/35

b) -11/56 ÷ 44/-7

= -11/56 × -7/44

= -1/8 × -1/4

= 1/32

c) -5/13 ÷ 45/78

= -5/13 × 78/45

= -1/1 × 6/9

= -6/9

= -2/3

2) Let the number be x

x × 9/16 = -36/5

9x/16 = -36/5

x = -36/5 × 16/9

x = -4/5 × 16

x = -64/5

x = -12 4/5

3) Four rational numbers between -5/6 and 3/8

LCM = 24

-5/6 = -20/24

3/8 = 9/24

The rational numbers are

-5/8, -3/8, -1/6, 1/6

4) x = 5/4

y = -1/3

x + y

= 5/4 + (-1/3)

= 5/4 - 1/3

= 15/12 - 4/12

= 11/12

x - y

= 5/4 - (-1/3)

= 5/4 + 1/3

= 15/12 + 4/12

= 19/12

(x + y) ÷ (x - y)

= 11/12 ÷ 19/12

= 11/12 × 12/19

= 11 × 1/19

= 11/19

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