Step-by-step explanation:
To solve the problem [tex]-\frac{3}{4} (-8a-12)[/tex]
we first use the distributive property, which means to multiply everything on the inside with the outside number on the left.
so [tex]-\frac{3}{4} * -8a, -\frac{3}{4} *-12[/tex]
This would equal
[tex]6a+9[/tex]
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
[tex]-\frac{8}{1} and-\frac{12}{1}[/tex]
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.