Question

Find the value of each expression.

$\frac{18+3\times 4}{13-8}$

Short answer

Expression $\frac{18+3\times 4}{13-8}$ results into 6

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.

- Simplify expression of numerator and denominator

To evaluate the value of the given expression, first simplify numerator and denominator separately as shown below

$\begin{array}{c}\frac{18+3\times 4}{13-8}=\frac{18+12}{5}\\ =\frac{30}{5}\end{array}$

- Divide 30 by 5

Now, to simplify further divide the numbers to get,

$\frac{30}{5}=6$