Question

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

Answer 1

Answer:

(1/40)·(15x + 392]

Step-by-step 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