(8 целых 5\9-10)+( 14 целых 1 \6-18 целых 14\27)=

Question

(8 целых 5\9-10)+( 14 целых 1 \6-18 целых 14\27)=

Answer 1

(8⁵/₉-10)+( 14¹/₆-18¹⁴/₂₇)=8⁵/₉-10 + 14¹/₆-18¹⁴/₂₇ = - 5⁴³/₅₄

1) 8⁵/₉-10 =8⁵/₉-9⁹/₉ = - 1⁴/₉
2) - 1⁴/₉ - 18¹⁴/₂₇ = - ¹³/₉ - ⁵⁰⁰/₂₇ = - ¹³ˣ³/₂₇ - ⁵⁰⁰/₂₇ = - ³⁹/₂₇ - ⁵⁰⁰/₂₇ = -⁵³⁹/₂₇
3) - ⁵³⁹/₂₇ + 14¹/₆ = - ⁵³⁹/₂₇ + ⁸⁵/₆  = - ⁵³⁹ˣ²/₅₄ + ⁸⁵ˣ⁹/₅₄ = - ¹⁰⁷⁸/₅₄ + ⁷⁶⁵/₅₄ = -³¹³/₅₄ = - 5⁴³/₅₄

Answer 2

(8 5/9 - 10) + (14 1/6 - 18 14/27) = (77/9 - 10) + (85/6 - 500/27) = (462/54 -540/54) + (765/54 - 1000/54) = -78/54 + (-235/54) = -78/54 - 235/54 = -313/54 = -5 43/54