Question

How do you find quotients for negative whole numbers divided by negative fractions? What about positive numbers divided by negative mixed fractions?


`- 1 / ( - \frac {7}{2} )`

`13 / ( - (3)/(4) )`

Answer 1

Here is you're answer:

I'm not sure if you want me to solve the questions or tell you how to solve them so I'll do both:

1. In order to solve this question you have to use KCF (Keep, Change, Flip) and for the whole number add a 1 as the denominator.

• 
  `-1 / (-7)/(2)`
• Add the denominator for negative one:
• 
  `-1 = (-1)/(1)`
• 
  `(-1)/(1) / (-7)/(2)`
• Now apply KCF:
• 
  `(-1)/(1) * (-2)/(7)`
• Solve:
• 
  `(-1)/(1) * (-2)/(7) = (2)/(7)`
• Remember that a negative times a negative is a positive.
• 
  `= (2)/(7)`

2. In order to solve this question you have to use KCF (Keep, Change, Flip) and for the whole number add a 1 as the denominator.

• 
  `13 / (-3)/(4)`
• Add the denominator:
• 
  `13 = (13)/(1)`
• 
  `(13)/(1) / (-3)/(4)`
• Apply KCF:
• 
  `(13)/(1) * (-4)/(3)`
• Solve:
• 
  `(13)/(1) * (-4)/(3) = (-52)/(3)`
• 
  `= (-52)/(3)`

Therefore you're answers are "2/7 and -52/3."

Hope this helps!