Question

Evaluate the expression when$x=3,y=4,\text{\hspace{0.17em}and}z=5$

localid="1648626056577" $x+\frac{24.4}{y}$

Short answer

The value of expression is9.1.

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 – Substitute the values

To evaluate the expression $x+\frac{24.4}{y}$, substitute 3 for x and 4 for y, and simplify further using the order of operations as shown below,

$\begin{array}{c}x+\frac{24.4}{y}=3+\frac{24.4}{4}\\ =3+6.1\end{array}$

Step-3 – Add the numbers

To simplify further, add the resulting numbers to get

$\begin{array}{c}x+\frac{24.4}{y}=3+\frac{24.4}{4}\\ =3+6.1\\ =9.1\end{array}$

So, the value of the expression is 9.1.