I'm trying to help my daughter with her alg I. Need help! 8 times 5/6 divided by negative 1/4 equals?

Answer 1

8 * (5/6) / (-1/4)

8 * (5/6)
= (8/1)*(5/6)
= (8 * 5) / (1 * 6)
= 40 / 6
= (2*20) / (2*3)
= 20 / 3

So now you have:
(20/3) / (-1/4)
= (20/3) * (-4/1)
= (20 * -4) / (3 * 1)
= -80 / 3

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Remember the fraction principles:

(a/b) * (c/d) = (a*c) / (b*d)

(a/b) / (c/d) = (a / b) * (d / c) = (a*d) / (b*c)

Answer 2

first multiply straight across like this 8/1 x 5/6
(any whole number equals that number over 1)
so now you have 40/6
40/6 divided by -1/4
for dividing fractions you multiply diagonally
so 40 x 4 = 160 and 6 x 1 = 6
your answer will be negative. (if both fractions were negative, your answer would be positive)
so now you have -160/4
divide to reduce the fraction and your answer is
-40

Answer 3

8 times 5/6 is eight times five divided by six, or 40 divided by 6. When dividing anything by a fraction, just take the recoprical and multiply. In other words, anything divided by a quarter is also multiplied by four. So 40/6 divided by a quarter is 40 times four divided by six. This is 160/6. Since the quarter was negative, it makes the answer negative as well : -160/6 = -26.6666 or -26 and 2/3.

Answer 4

turn the 8 into a fraction: 8/1
when dividing by a fraction, multiply by its reciprocal: instaed of dividing by 1/4, multiply by 4/1
an odd number of negatives makes the final answer negative (even would be positive)

now just multiply across: 8/1 * 5/6 * 4/1 becomes 8*5*4 / 1*6*1
so you get -160/6 or reduced: -80/3

Answer 5

(8 x 5/6) / (- 1 / 4)
= - 8 x 5/6 x 4/1
= - 160 / 6
= - 80 / 3

Answer 6

8 times 5/6 = 8 * 5/6 = 40/6 = 20/3

Divide it by -1/4 = (20/3)/(-1/4) = -20/3 * 4 = -80/3

Answer 7

8*(5/6) : (-1/4) = (8*5/6) *(-4/1) = (4*5/3) *(-4) = -80/3

Answer 8

LOL
really why would you keep asking the same simple math problem

8 * 5/6 * (-4) = -26.6666

Answer 9

((5/6)*8)/(-1/4)
=-(40/6)/(1/4)
=-40*4/6
= -160/6

Answer 10

160/6