Question

How do you find quotients for negative whole numbers divided by negative fractions? What about positive numbers divided by negative mixed fractions?
$- 1 \div ( - \frac {7}{2} )$
$13 \div ( - \frac{3}{4} )$

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.

• $-1 \div \frac{-7}{2}$
• Add the denominator for negative one:
• $-1 = \frac{-1}{1}$
• $\frac{-1}{1} \div \frac{-7}{2}$
• Now apply KCF:
• $\frac{-1}{1} \times \frac{-2}{7}$
• Solve:
• $\frac{-1}{1} \times \frac{-2}{7} = \frac{2}{7}$
• Remember that a negative times a negative is a positive.
• $= \frac{2}{7}$

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.

• $13 \div \frac{-3}{4}$
• Add the denominator:
• $13 = \frac{13}{1}$
• $\frac{13}{1} \div \frac{-3}{4}$
• Apply KCF:
• $\frac{13}{1} \times \frac{-4}{3}$
• Solve:
• $\frac{13}{1} \times \frac{-4}{3} = \frac{-52}{3}$
• $= \frac{-52}{3}$

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

Hope this helps!