Q34. - Algebra 2

Question

Find the value of each expression

$\frac{1}{5}-\frac{20\left(81÷9\right)}{25}$

Step-by-Step Solution

Answer

Value of $\frac{1}{5}-\frac{20\left(81÷9\right)}{25}$ is  $-7$

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 expression inside grouping symbol

To evaluate the value of the given expression, first simplify the expression inside the parenthesis and then fraction as shown below

$\begin{array}{c}\frac{1}{5}-\frac{20\left(81÷9\right)}{25}=\frac{1}{5}-\frac{20\left(9\right)}{25}\\ =\frac{1}{5}-\frac{180}{25}\\ =\frac{1}{5}-\frac{36}{5}\end{array}$

Step 3 - Subtract 36 5 from 1 5

Now, to simplify further subtract the numbers to get

 $\begin{array}{c}\frac{1}{5}-\frac{36}{5}=\frac{1-36}{5}\\ =\frac{-35}{5}\\ =-7\end{array}$

Thus, value of $\frac{1}{5}-\frac{20\left(81÷9\right)}{25}$ is  $-7$