Calculate: 5/6 + [2/3 + 4/3] x 5/2 ÷ 3/4 = ?

March 16, 2026Mathematics

ScanSolve AI Answer

March 16, 2026

Answer

$67.5 + 2\sqrt[3]{4}$

Step 1: Simplify inside the brackets.

$\frac{2}{3} + \frac{1}{3} = \frac{2 + 1}{3} = \frac{3}{3} = 1$

The expression becomes:

$63.5 + 1 \times 2^{\frac{5}{3}} + 4$

Step 2: Simplify the power.

$2^{\frac{5}{3}} = 2^{1 + \frac{2}{3}} = 2^{1} \times 2^{\frac{2}{3}} = 2 \times (2^{2})^{\frac{1}{3}} = 2 \sqrt[3]{4}$

Substitute:

$63.5 + 2\sqrt[3]{4} + 4$

Step 3: Combine the decimal terms.

$63.5 + 4 = 67.5$

The expression simplifies to:

$67.5 + 2\sqrt[3]{4}$

67.5 + 2\sqrt[3]{4}

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Quick Answer

Simplify inside the brackets. (2)/(3) + (1)/(3) = (2 + 1)/(3) = (3)/(3) = 1 The expression becomes: 63.5 + 1 × 2^(5)/(3) + 4 Step 2: Simplify the power.

Asked on March 16, 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 16, 2026

Step 1: Simplify inside the brackets. (2)/(3) + (1)/(3) = (2 + 1)/(3) = (3)/(3) = 1 The expression becomes: 63.5 + 1 × 2^(5)/(3) + 4 Step 2: Simplify the power. 2^(5)/(3) = 2^1 + (2)/(3) = 2^1 × 2^(2)/(3) = 2 × (2^2)^(1)/(3) = 2 [3]4 Substitute: 63.5 + 2[3]4 + 4 Step 3: Combine the decimal terms. 63.5 + 4 = 67.5 The expression simplifies to: 67.5 + 2[3]4 67.5 + 2[3]4