Question

Distributive Property: -3 1/2 divided by 1/2

Answer 1

-7

Step-by-step explanation

We want to solve the given fractional division by using the distributive property.

Basically, we are going to split the numerator into smaller pieces to make the division simpler.

That is:

`\begin{gathered} (-3(1)/(2))/((1)/(2)) \\ =\text{ }((-7)/(2))/((1)/(2)) \\ =\text{ }\frac{((-6)/(2)\text{ - }(1)/(2))}{(1)/(2)} \\ =\frac{(-3\text{ - }(1)/(2))}{(1)/(2)} \\ =(-3)/((1)/(2))\text{ - }((1)/(2))/((1)/(2)) \\ =\text{ -6 - 1} \\ =\text{ -7} \end{gathered}`