Question
(3.6-1(1)/(8)div (3)/(4))cdot 15
Solution
4
(175 Votos)
Ester
Profissional · Tutor por 6 anos
Resposta
To solve the expression \((3.6 - 1 \frac{1}{8} \div \frac{3}{4}) \cdot 15\), we need to follow the order of operations (PEMDAS/BODMAS):1. **Parentheses/Brackets**2. **Exponents/Orders**3. **Multiplication and Division (from left to right)**4. **Addition and Subtraction (from left to right)**Let's break it down step by step:### Step 1: Convert the mixed number to an improper fraction
### Step 2: Perform the division inside the parentheses
To divide by a fraction, multiply by its reciprocal:
### Step 3: Subtract the result from 3.6
Convert 3.6 to a fraction:
Now subtract:
Find a common denominator (which is 10):
Subtract:
### Step 4: Multiply the result by 15
So, the final answer is: