Выполните действия: (2 5/18 - 1,25): 4 1/9/(7/15 - вопрос №74669212518125419715512535922215 от abeloglazova891 16.10.2020 19:14

Question

Математика: Выполните действия: (2 5/18 - 1,25): 4 1/9/(7/15 - 5/12)х5 + ( 3 5/9-2,2-2/15)х(-3/11)/(1 7/9-2)х2,25

abeloglazova891 · Answer

(2⁵/₁₈ - 1,25):4¹/₉/(⁷/₁₅ - ⁵/₁₂)х5 + ( 3⁵/₉-2,2-²/₁₅)х(-³/₁₁)/(1⁷/₉-2)х2,25 = 0,04
1) 2⁵/₁₈ - 1,25 = ⁴¹/₁₈ - ¹²⁵/₁₀₀ = ⁴¹/₁₈ - ⁵/₄ = ⁴¹ˣ²/₃₆ - ⁵ˣ⁹/₃₆ = ⁸²⁻⁴⁵/₃₆ = ³⁷/₃₆
2) ³⁷/₃₆:4¹/₉ = ³⁷/₃₆ : ³⁷/₉ = ³⁷/₃₆ × ⁹/₃₇ = ³⁷ˣ⁹/₃₆ₓ₃₇ = ⁹/₃₆ = ¹/₄
3) ⁷/₁₅ - ⁵/₁₂ =⁷ˣ⁴/₆₀ - ⁵ˣ⁵/₆₀ = ²⁸⁻²⁵/₆₀ = ³/₆₀ = ¹/₂₀
4) ¹/₂₀ ×5 = ⁵/₂₀ = ¹/₄
5) ¹/₄ : ¹/₄ = ¹/₄ × ⁴/₁ = ⁴/₄ = 1
6) 3⁵/₉-2,2=³²/₉-²²/₁₀=³²⁰/₉₀-²²⁰/₉₀ = ³²⁰⁻²²⁰/₉₀ = ¹⁰⁰/₉₀ = ¹⁰/₉
7) ¹⁰/₉ - ²/₁₅=⁵⁰/₄₅ - ⁶/₄₅= ⁵⁰⁻⁶/₄₅ = ⁴⁴/₄₅
8) ⁴⁴/₄₅ × (-³/₁₁) = - ⁴⁴ˣ³/₄₅ₓ₁₁ = - ⁴/₁₅
9) 1⁷/₉-2 = ²/₉
10) ²/₉ × 2,25 = ²/₉ × ²²⁵/₁₀₀ = ²/₉ × ⁵/₄ = ²ˣ⁵/₉ₓ₄ = ¹⁰/₃₆
11) (-⁴/₁₅) : ¹⁰/₃₆ = - ⁴/₁₅ × ³⁶/₁₀ = - ⁴ˣ³⁶/₁₅ₓ₁₀ = - ⁷²/₇₅ = - ²⁴/₂₅
12) 1 - ²⁴/₂₅ = ¹/₂₅ = 0,04