How do you simplify #3(x+1 1/2)-3#?

1 Answer
Oct 26, 2016

The answer is #3x+3/2#.

Explanation:

Simplify: #3(x+1 1/2)-3#

Convert #1 1/2# to the improper fraction #3/2#.

#3(x+3/2)-3#

Expand #3(x+3/2)# using the distributive property.

#3x+9/2-3#

Multiply #-3# by #2/2# to produce a fraction with the common denominator #2#.

#3x+9/2-6/2#

Subtract #6/2# from #9/2#.

#3x+3/2#