3³/₄ ÷1¹/₂+1¹/₂÷3³/₄ ×2¹/₂+(1¹/₇ - ²³/₄₉) ÷ ²²/₁₄₇ = 6
1) 3³/₄ ÷1¹/₂= ¹⁵/₄ : ³/₂= ¹⁵/₄ × ²/₃= ¹⁵ˣ²/₄ₓ₃=⁵ˣ¹/₂ₓ₁=⁵/₂ = 2¹/₂
2) 1¹/₂÷3³/₄ = ³/₂ : ¹⁵/₄ = ³/₂ × ⁴/₁₅ =³ˣ⁴/₂ₓ₁₅=²/₅
3) ²/₅ × 2¹/₂=²/₅ ×⁵/₂= ²ˣ⁵/₅ₓ₂ = ¹/₁ = 1
4) 2¹/₂ - 1 = 1¹/₂
5) 1¹/₇ - ²³/₄₉ = ⁸/₇ - ²³/₄₉ = ⁸ˣ⁷/₄₉ - ²³/₄₉ = ⁵⁶⁻²³/₄₉ = ³³/₄₉
6) ³³/₄₉ : ²²/₁₄₇ = ³³/₄₉ × ¹⁴⁷/₂₂ = ³³ˣ¹⁴⁷/₄₉ₓ₂₂= ³³ˣ³/₂₂= ³ˣ³/₂=⁹/₂
7) 1¹/₂+⁹/₂=³/₂+⁹/₂=³⁺⁹/₂=¹²/₂=6
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2 ÷3¹/₅ +3¹/₄ ÷13÷²/₃ -(2⁵/₁₈-¹⁷/₃₆) ×¹⁸/₆₅ = 0,25
1) 2 : 3¹/₅= 2 : ¹⁶/₅=2 × ⁵/₁₆=²ˣ⁵/₁₆ = ⁵/₈
2) 3¹/₄ ÷13=¹³/₄ ÷¹³/₁=¹³/₄ × ¹/₁₃=¹³ˣ¹/₄ₓ₁₃=¹/₄
3) ¹/₄ : ²/₃=¹/₄ × ³/₂= ¹ˣ³/₄ₓ₂=³/₈
4) ⁵/₈ - ³/₈= ⁵⁻³/₈ = ²/₈ = ¹/₄
5) 2⁵/₁₈-¹⁷/₃₆=⁴¹/₁₈ - ¹⁷/₃₆= ⁴¹ˣ²/₃₆ - ¹⁷/₃₆= ⁸²/₃₆ - ¹⁷/₃₆ = ⁸²⁻¹⁷/₃₆= ⁶⁵/₃₆
6) ⁶⁵/₃₆ × ¹⁸/₆₅ = ⁶⁵ˣ¹⁸/₃₆ₓ₆₅ = ¹⁸/₃₆ = ¹/₂
7) ¹/₄ - ¹/₂= ¹/₄ - ²/₄ = - ¹/₄ = - 0,25