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⋅(5+2)+2⋅5=2⋅7+2⋅5=14+10=24
Step 2: Simplify the Denominator
Next, we simplify the denominator:
2⋅(8−1)=2⋅7=14
Step 3: Divide the Numerator by the Denominator
Now, we divide the simplified numerator by the simplified denominator:
1424=712≈1.7143
Final Answer
The simplified value of the given expression is:
1.7143