Question

Look at the Example. How do you know that (-3/4)(-8a)+(-3/4)(-12) is equivalent to both -3/4(-8a-12) and 6a+9?

Answer 1

Step-by-step explanation:

To solve the problem $-\frac{3}{4} (-8a-12)$

we first use the distributive property, which means to multiply everything on the inside with the outside number on the left.

so $-\frac{3}{4} * -8a, -\frac{3}{4} *-12$

This would equal

$6a+9$

its pretty simple.

what may be confusing is the fraciton multiplication

to solve this we convert the -8 and -12 into a fraction. This would be

$-\frac{8}{1} and-\frac{12}{1}$

and multiplying fractions is easy, u just do it straight across.

so 3 times 8 is 24 so this would be 24/4

and 24/4 simplified is 6

and 3 times 12 is 36

so it would be 36/4

this would equal 9 simplified

and since we are just multiplying all negative numbers here they all turn out to be positive numbers because you should know.  a negative times a negative equals a positive.