Questions: Simplify. 2 cdot(5+2)+2 cdot 5 / 2 cdot(8-1) 1 5/7 4 2/3 2 1 3/5

Transcript text: Simplify. \[ \frac{2 \cdot(5+2)+2 \cdot 5}{2 \cdot(8-1)} \] $1 \frac{5}{7}$ $4 \frac{2}{3}$ 2 $1 \frac{3}{5}$

Solution

Solution Steps

To simplify the given expression, we need to follow the order of operations (PEMDAS/BODMAS). First, simplify the expressions inside the parentheses, then perform the multiplications, and finally, handle the addition and division.

Step 1: Simplify the Numerator

First, we simplify the numerator: \[ 2 \cdot (5 + 2) + 2 \cdot 5 = 2 \cdot 7 + 2 \cdot 5 = 14 + 10 = 24 \]

Step 2: Simplify the Denominator

Next, we simplify the denominator: \[ 2 \cdot (8 - 1) = 2 \cdot 7 = 14 \]

Step 3: Divide the Numerator by the Denominator

Now, we divide the simplified numerator by the simplified denominator: \[ \frac{24}{14} = \frac{12}{7} \approx 1.7143 \]

Final Answer

The simplified value of the given expression is: \[ \boxed{1.7143} \]

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