Evaluating the Expression: 35 + 2 4/5 x (0.25 + 1/5)
To evaluate this expression, we need to follow the order of operations (PEMDAS):
- Parentheses: Evaluate the expressions inside the parentheses
- Exponents (none in this case)
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
Let's break down the expression:
Step 1: Evaluate the expressions inside the parentheses
Inside the parentheses, we have:
0.25 + 1/5
To evaluate this, we need to convert the fraction 1/5 to a decimal:
1/5 = 0.2
So, the expression becomes:
0.25 + 0.2 = 0.45
Step 2: Evaluate the mixed number 2 4/5
The mixed number 2 4/5 can be converted to an improper fraction:
2 4/5 = (2 × 5 + 4)/5 = (10 + 4)/5 = 14/5
Now, we can convert the improper fraction to a decimal:
14/5 = 2.8
Step 3: Multiply 2 4/5 and (0.25 + 1/5)
Now that we have evaluated the expressions inside the parentheses and converted the mixed number to a decimal, we can multiply:
2.8 × 0.45 = 1.26
Step 4: Add 35 to the result
Finally, we add 35 to the result:
35 + 1.26 = 36.26
Therefore, the final result of the expression 35 + 2 4/5 x (0.25 + 1/5) is 36.26.
