(2×2)-(4-5)÷(3×9)+(2×2)

March 31, 2026Mathematics

ScanSolve AI Answer

March 31, 2026

Answer

$\frac{217}{27}$

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 $\boxed{\frac{217}{27}}$ .

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Quick Answer

Evaluate the expressions inside the parentheses. (2 × 2) = 4 (4 - 5) = -1 (3 × 9) = 27 Step 2: Substitute these values back into the original expression.

Asked on March 31, 2026Mathematics

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 AnswerAnswered on March 31, 2026

Step 1: Evaluate the expressions inside the parentheses. (2 × 2) = 4 (4 - 5) = -1 (3 × 9) = 27 Step 2: Substitute these values back into the original expression. 4 - (-1) ÷ 27 + 4 Step 3: Perform the division. (-1) ÷ 27 = -(1)/(27) Step 4: Substitute this value back into the expression. 4 - (-(1)/(27)) + 4 4 + (1)/(27) + 4 Step 5: Perform the additions from left to right. 4 + (1)/(27) = (4 × 27)/(27) + (1)/(27) = (108)/(27) + (1)/(27) = (109)/(27) (109)/(27) + 4 = (109)/(27) + (4 × 27)/(27) = (109)/(27) + (108)/(27) = (109 + 108)/(27) = (217)/(27) The final answer is (217)/(27).

Asked on March 31, 2026Mathematics

ScanSolve AI AnswerAnswered on March 31, 2026

Step 1: Evaluate the expressions inside the parentheses. (2 × 2) = 4 (4 - 5) = -1 (3 × 9) = 27 Step 2: Substitute these values back into the original expression. 4 - (-1) ÷ 27 + 4 Step 3: Perform the division. (-1) ÷ 27 = -(1)/(27) Step 4: Substitute this value back into the expression. 4 - (-(1)/(27)) + 4 4 + (1)/(27) + 4 Step 5: Perform the additions from left to right. 4 + (1)/(27) = (4 × 27)/(27) + (1)/(27) = (108)/(27) + (1)/(27) = (109)/(27) (109)/(27) + 4 = (109)/(27) + (4 × 27)/(27) = (109)/(27) + (108)/(27) = (109 + 108)/(27) = (217)/(27) The final answer is (217)/(27).