Question

Evaluate the expression $\frac{36-12}{2+6}$

Short answer

The value of expression is3 .

Step-by-step solution

Step-1 – Order of operations

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.

Step-2 – Simplify numerator and denominator 

To evaluate the given expression, first simplify the expressions in numerator and denominator as shown below

$\begin{array}{c}\frac{36-12}{2+6}=\frac{24}{2+6}\\ =\frac{24}{8}\end{array}$

Step-3 – divide the numbers

Now, to simplify further divide the resulting numbers to get

$\begin{array}{c}\frac{36-12}{2+6}=\frac{24}{8}\\ =3\end{array}$

So, the value of the expression is .3