(2×2)-(4-5)÷(3×9)+(2×2)
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Evaluate the expressions inside the parentheses.
$$ (2 \times 2) = 4 $$
$$ (4 - 5) = -1 $$
$$ (3 \times 9) = 27 $$
Step 2: Substitute these values back into the original expression.
$$ 4 - (-1) \div 27 + 4 $$
Step 3: Perform the division.
$$ (-1) \div 27 = -\frac{1}{27} $$
Step 4: Substitute this value back into the expression.
$$ 4 - \left(-\frac{1}{27}\right) + 4 $$
$$ 4 + \frac{1}{27} + 4 $$
Step 5: Perform the additions from left to right.
$$ 4 + \frac{1}{27} = \frac{4 \times 27}{27} + \frac{1}{27} = \frac{108}{27} + \frac{1}{27} = \frac{109}{27} $$
$$ \frac{109}{27} + 4 = \frac{109}{27} + \frac{4 \times 27}{27} = \frac{109}{27} + \frac{108}{27} = \frac{109 + 108}{27} = \frac{217}{27} $$
The final answer is $\boxed{\frac{217}{27}}$.
