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Answers
Step-by-step explanation:
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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