13/7*(10-(4 1/3*2-1 1/6: 3/8): 13*8 2/11)-4 1/2: - вопрос №7197833137104132116381382114123310731001 от Почтиматематик2894 15.02.2023 04:41

Question

Математика: 13/7*(10-(4 1/3*2-1 1/6: 3/8): 13*8 2/11)-4 1/2: 3 3/10+73/1001 решите

Почтиматематик2894 · Answer

1³/₇×(10-(4¹/₃×2-1¹/₆:³/₈):13×8²/₁₁)-4¹/₂:3³/₁₀+⁷³/₁₀₀₁ = 8
1) 4¹/₃×2 = ¹³/₃×2 = ¹³ˣ²/₃ = ²⁶/₃
2) 1¹/₆:³/₈ =⁷/₆:³/₈ = ⁷/₆×⁸/₃ = ⁷ˣ⁸/₆ₓ₃ = ²⁸/₉
3) ²⁶/₃ - ²⁸/₉ = ²⁶ˣ³/₉ - ²⁸/₉ = ⁷⁸⁻²⁸/₉ = ⁵⁰/₉
4) ⁵⁰/₉ : 13 = ⁵⁰/₉ × ¹/₁₃ = ⁵⁰/₉ₓ₁₃ = ⁵⁰/₁₁₇
5) ⁵⁰/₁₁₇ × 8²/₁₁=⁵⁰/₁₁₇ × ⁹⁰/₁₁ = ⁵⁰ˣ⁹⁰/₁₁₇ₓ₁₁ = ⁴⁵⁰⁰/₁₂₈₇ = ⁵⁰⁰/₁₄₃ = 3⁷¹/₁₄₃
6) 10 - 3⁷¹/₁₄₃ = 6⁷²/₁₄₃
7) 1³/₇ × 6⁷²/₁₄₃ = ¹⁰/₇ × ⁹³⁰/₁₄₃ = ¹⁰ˣ⁹³⁰/₇ₓ₁₄₃ = ⁹³⁰⁰/₁₀₀₁
8) 4¹/₂ : 3³/₁₀ =⁹/₂ : ³³/₁₀ = ⁹/₂ ×¹⁰/₃₃ = ⁹ˣ¹⁰/₂ₓ₃₃ = ³ˣ⁵/₁₁ = ¹⁵/₁₁
9) ⁹³⁰⁰/₁₀₀₁ - ¹⁵/₁₁ = ⁹³⁰⁰/₁₀₀₁ - ¹⁵ˣ⁹¹/₁₀₀₁ = ⁹³⁰⁰⁻¹³⁶⁵/₁₀₀₁ = ⁷⁹³⁵/₁₀₀₁
10) ⁷⁹³⁵/₁₀₀₁ + ⁷³/₁₀₀₁ = ⁷⁹³⁵⁺⁷³/₁₀₀₁ = ⁸⁰⁰⁸/₁₀₀₁ = 8