Вопрос школьника по предмету Математика
ВЫПОЛНИТЕ ДЕЙСТВИЯ: (2 5/18-1,25):4 1/9/(7/15-5/12)×5+(3 5/9-2,2-2/15)×(-3/11)/(1 7/9-2)×2,25.
Ответ учителя по предмету Математика
(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
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