Simplify the algebraic expression -2/3b + 1/4(b - 5/6)
To simplify the expression, we need to combine like terms.
First, let's simplify the expression within the parentheses:
1/4(b - 5/6) = 1/4b - 5/24
Now the expression becomes: -2/3b + 1/4b - 5/24
To combine the terms with 'b', we need to find a common denominator: 3 and 4 have a common multiple of 12.
-2/3b + 1/4b = -8/12b + 3/12b = (-8 + 3)/12b = -5/12b
Now, the expression becomes: -5/12b - 5/24
Therefore, the simplified expression is -5/12b - 5/24.