²/₃d - ¹/₂d + d+ 2¹/₆= 4,5
²/₃d - ¹/₂d + d = ⁴⁵/₁₀ - 2¹/₆
⁴/₆d - ³/₆d + d = ⁴⁵/₁₀ - ¹³/₆
¹/₆d + d = ⁴⁵/₁₀ - ¹³/₆
1¹/₆d = ⁴⁵ˣ³/₃₀ - ¹³ˣ⁵/₃₀
1¹/₆d = ¹³⁵/₃₀ - ⁶⁵/₃₀
1¹/₆d = ¹³⁵⁻⁶⁵/₃₀
⁷/₆d = ⁷⁰/₃₀
d = ⁷⁰/₃₀ ÷ ⁷/₆
d = ⁷⁰/₃₀ × ⁶/₇
d = ⁷⁰ˣ⁶/₃₀ₓ₇
d = ¹⁰/₅
d = 2
Проверка
²/₃×2 - ¹/₂×2 + 2+ 2¹/₆= 4,5
²ˣ²/₃ - ²ˣ¹/₂ + 4¹/₆ = 4,5
⁴/₃ - ²/₂ + 4¹/₆ = 4,5
⁴/₃ - 1 + 4¹/₆ = 4,5
⁴/₃ + 3¹/₆ = 4,5
⁴/₃ + ¹⁹/₆ = 4,5
⁸/₆ + ¹⁹/₆ = 4,5
⁸⁺¹⁹/₆ = 4,5
²⁷/₆ = 4,5
4³/₆ = 4,5
4¹/₂ = 4,5
4,5 = 4,5