Operations with Fractions and Decimals
In this article, we will evaluate the expression 1 25/2 × 2/3 × 60 - 1/5. To solve this expression, we need to follow the order of operations (PEMDAS):
- Evaluate the expression inside the parentheses (if any)
- Exponents (if any)
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
Let's break down the expression step by step:
Step 1: Evaluate the mixed number
The expression starts with a mixed number: 1 25/2. To evaluate this, we need to convert it to an improper fraction.
1 25/2 = (1 × 2 + 25)/2 = 75/2
Step 2: Multiply by 2/3
Now, we need to multiply 75/2 by 2/3.
(75/2) × (2/3) = 75/3
Step 3: Multiply by 60
Next, we need to multiply 75/3 by 60.
(75/3) × 60 = 1500
Step 4: Subtract 1/5
Finally, we need to subtract 1/5 from 1500.
1500 - 1/5 = 1500 - 0.2 = 1499.8
Therefore, the final result of the expression 1 25/2 × 2/3 × 60 - 1/5 is 1499.8.
