2 : ³/₅+³/₅ :2+1¹/₂:
6+6:¹¹/₂ = 57⁷/₁₅
1) 2
: ³/₅ = ²/₁ × ⁵/₃ = ²ˣ⁵/₃ = ¹⁰/₃
2) ³/₅ :
2 = ³/₅ : ²/₁ = ³/₅ × ¹/₂ = ³/₅ₓ₂ = ³/₁₀
3) ¹⁰/₃
+ ³/₁₀ = ¹⁰ˣ¹⁰/₃₀ + ³ˣ³/₃₀ = ¹⁰⁰⁺⁹/₃₀ = ¹⁰⁹/₃₀
4)
1¹/₂ : 6 = ³/₂ : ⁶/₁ = ³/₂ × ¹/₆ = ³/₂ₓ₆ = ¹/₂
5) 6 : ¹¹/₂
= ⁶/₁ × ²/₁₁ = ⁶ˣ²/₁₁ = ¹²/₁₁
6) ¹⁰⁹/₃₀
+ ¹/₂ = ¹⁰⁹/₃₀ + ¹ˣ¹⁵/₃₀ = ¹⁰⁹/₃₀ + ¹⁵/₃₀ = ¹⁰⁹⁺¹⁵/₃₀ = ¹²⁴/₃₀
7) ¹²⁴/₃₀ + ¹²/₁₁ = ¹²⁴ˣ¹¹/₃₃₀ + ¹²ˣ³⁰/₃₃₀ = ¹³⁶⁴/₃₀ + ³⁶⁰/₃₀ = ¹³⁶⁴⁺³⁶⁰/₃₀ = ¹⁷²⁴/₃₀ = 57¹⁴/₃₀ = 57⁷/₁₅
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6¹/₄×8 -3³/₂×5¹/₂+2²/₅×4⁷/₁₂ = 1,5
1) 6¹/₄×8 = ²⁵/₄×8 = ²⁵ˣ⁸/₄ = ²⁵/₂ = 12,5
2) 3³/₂×5¹/₂ = ⁸/₂×¹¹/₂ = ⁸ˣ¹¹/₂ₓ₂ = ²ˣ¹¹/₁ = 22
3) 2²/₅×4⁷/₁₂ = ¹²/₅×⁵⁵/₁₂ = ¹²ˣ⁵⁵/₅ₓ₁₂ = ⁵⁵/₅ = 11
4) 12,5 - 22 = - 9,5
5) - 9,5 + 11 = 1,5