Q9. - Algebra 2

Question

Find the value of each expression

$\frac{17\left(2+26\right)}{4}$

Step-by-Step Solution

Answer

Value of $\frac{17\left(2+26\right)}{4}$ is 119.

Step 1 - 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.

Step 2 - Simplify numerator

To solve the given expression, first simplify the expression on numerator and then divide the resulting number by 4 as follows,

$\begin{array}{c}\frac{17\left(2+26\right)}{4}=\frac{17\left(28\right)}{4}\\ =\frac{476}{4}\end{array}$

Step 3 - Divide 476 by 4

$\frac{476}{4}=119$