Question

Simplify the following algebra expression 3/4(1/2x-12)+4/5

Answer 1

(1/40)·(15x + 392]

Explanation:

I'm going to assume that you meant [3/4] · ( [1/2]x - 12) + 4/5.

Carrying out the multiplication first, we get:

[3/4] · [1/2]x + [3/4][-12] + 4/5. This simplifies to:

[3/8]x + 9 + 4/5

The LCD of this expression is (8)(5) = 40. Thus, we have:

40{ [3/8]x + 9 + 4/5 }

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40

or:

40{ [3/8]x + 9 + 4/5 }

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40

which simplifies to:

15x + 360 + 32 15x + 392

---------------------- = -------------------

40 40