Question

Wykonaj podane dzialania. ( Proszę o całe obliczenia ).

a) 4 1/5 - 2 3/4 + 1 1/8 - 2 7/10=
b) 8 5/36 - 3 7/9 - 2 1/8 - 1 7/18=
c) 6 1/2 - [ 5 1/3 - ( 4 1/4 - 3 1/5 )]=

Answer 1

A) 4¹/₅ - 2³/₄ + 1¹/₈ - 2⁷/₁₀
= ²¹/₅ - ¹¹/₄ + ⁹/₈ - ²⁷/₁₀
= ¹⁶⁸/₄₀ - ¹¹⁰/₄₀ + ⁴⁵/₄₀ - ¹°⁸/₄₀
= - (⁵/₄₀) = - (¹/₈)

b) 8⁵/₃₆ - 3⁷/₉ - 2¹/₈ - 1⁷/₁₈
= ²⁹³/₃₆ - ³⁴/₉ - ¹⁷/₈ - ²⁵/₁₈
= ⁵⁹⁶/₇₂ - ²⁷²/₇₂ - ¹⁵³/₇₂ - ¹⁰⁰/₇₂
= ⁶⁶/₇₂ = ³³/₃₆ = ¹¹/₁₂

c) 6¹/₂ - [ 5¹/₃ - ( 4¹/₄ - 3¹/₁₅ )
= ¹³/₂ - [ ¹⁶/₃ - ( ¹⁷/₄ - ⁴⁶/₁₅ )
= ³⁹⁰/₆₀ - [ ³²⁰/₆₀ - ( ²⁵⁵/₆₀ - ¹⁸⁴/₆₀ )
= ³⁹⁰/₆₀ - [ ³²⁰/₆₀ - ⁷¹/₆₀ ]
= ³⁹⁰/₆₀ - ²⁴⁹/₆₀
= ¹⁴¹/₆₀ = ⁴⁷/₂₀ = 2⁷/₂₀