Evaluate the following expression using BODMAS rule
(90/3*3+5)/(-2*3+9)
(90/3*3+5)/(-2*3+9)=
(90/9+5)/(-6+9)=
(10+5)/(3)=
5
To evaluate the expression using the BODMAS rule, you need to follow a specific order of operations: Brackets, Orders (exponents and roots), Division and Multiplication (from left to right), and Addition and Subtraction (from left to right).
Let's break down the expression step by step:
(90/3 * 3 + 5) / (-2 * 3 + 9)
1. Start with the innermost brackets:
(90/3 * 3 + 5) / (-2 * 3 + 9)
Evaluate the expression inside the brackets first:
(30 * 3 + 5) / (-2 * 3 + 9)
2. Next, perform any multiplications and divisions from left to right:
(90 + 5) / (-6 + 9)
Perform the multiplication 30 * 3:
(90 + 5) / (-2 * 3 + 9)
Perform the multiplication -2 * 3:
(90 + 5) / (-6 + 9)
Perform the addition 90 + 5:
(95) / (-6 + 9)
3. Now, perform the additions and subtractions from left to right:
(95) / (3)
The final result is:
31.67
So, the evaluated value of the expression is approximately 31.67.