Question

Express the quotient as a fraction in simplest form

Answer 1

Answer:

-5/6

Step-by-step explanation:

A great way to divide fractions is to use the "leave it, change it, flip it" method.  You leave the first fraction as it is, change the division sign to a multiplication sign, and flip the second fraction so you get the reciprocal.  Like this:

-5/7 ÷ 6/7

-5/7 x 6/7

-5/7 x 7/6

Then you multiply through.  First -5 x 7, -35, and then 7 x 6, 42, to get -35/42.  Because both of these are divisible by 7, we can simplify to get -5/6.

Answer 2

Answer:

-5

6

Step-by-step explanation:

⇒ $\frac{-5}{7}$ ÷ $\frac{6}{7}$

⇒ $\frac{-5}{7}$ × $\frac{7}{6}$

(We do this because when dividing a fraction by another fraction we take the inverse of the second fraction and multiply it to the first fraction.)                                                                                                          

⇒ -5 × 7 = -35 (to simplify just divide both by 7) = -5

     7 × 6     42                                                             6

So the answer is -5

                            6