Given the expression
[tex]\frac{4}{5}\cdot(12\div2+4)-1[/tex]
To find the value of the expression you have to follow the order of operations:
- Parentheses
- Exponents
- Multiplication/Division
- Addition/ Subtraction
• First, you have to solve the operations inside the parentheses term:
[tex]12\div2+4[/tex]
Solve the division first and then the sum:
[tex]12\div2+4=6+4=10[/tex]
• Write the result on the original expression:
[tex]\begin{gathered} \frac{4}{5}\cdot(12\div2+4)-1 \\ \frac{4}{5}\cdot10-1 \end{gathered}[/tex]
• The next step is to solve the multiplication and finally solve the difference
[tex]\frac{4}{5}\cdot10-1=8-1=7[/tex]
The value of the expression is 7
