Question

Evaluate each expression if $a=12,b=0.5,c=-3$and $d=\frac{1}{3}$

$\frac{9c+ab}{c}$

Short answer

Expression $\frac{9c+ab}{c}$ results into 7.

Step-by-step solution

- Order for simplification 

To evaluate any expression involving more than one operation, follow the below order of operations:

• First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
• Evaluate the exponents.
• Perform Multiplication and division from left to right.
• Perform addition and subtraction from left to right.

– Perform substitution

To evaluate given expression, first substitute 12 for a, 0.5 for b and -3 for c in expression.

$\frac{9c+ab}{c}=\frac{9\left(-3\right)+\left(12\right)\left(0.5\right)}{-3}$

– Perform simplification

To simplify further, first solve the numerator and multiply the terms from left to right followed by subtraction between the terms and then divide the terms as shown below.

$\begin{array}{c}\frac{9\left(-3\right)+\left(12\right)\left(0.5\right)}{-3}=\frac{-27+6}{-3}\\ =\frac{-21}{-3}\\ =7\end{array}$