Question

Evaluate the expression when $x=6\text{and}y=12$.

localid="1648828247026" $x+\frac{y}{3}$

Short answer

The value of the expression is10.

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 – Divide from left to right

To evaluate the expression $x+\frac{y}{3}$, substitute 6 for x and 12 for y in the given expression and simplify further as shown below

$\begin{array}{c}x+\frac{y}{3}=6+\frac{12}{3}\\ =6+4\end{array}$

Step-3 – Add the numbers

Now to simplify further, add the numbers to get

$\begin{array}{c}x+\frac{y}{3}=6+4\\ =10\end{array}$

Thus, the value of the expression is 10.