a) 1-5/6+2/3 b) 2/7-3/8+11/7-(-1/3)+1/7-5/8 c) (-5/7+14/11)+(-11/14+14/-11)
2 câu trả lời
Đáp án:
` a) ` ` 5/6 `
` b) ` ` 4/3 `
` c) ` ` {-3}/2 `
Giải thích các bước giải:
` a) 1 - 5/6 + 2/3 `
` = 6/6 - 5/6 + 4/6 `
` = 5/6 `
` b) 2/7 - 3/8 + 11/7 - ({-1}/3) + 1/7 - 5/8 `
` = (2/7 + 11/7 + 1/7) - (3/8 + 5/8) + 1/3 `
` = 14/7 - 8/8 + 1/3 `
` = 2 - 1 + 1/3 `
` = 1 + 1/3 `
` = 3/3 + 1/3 `
` = 4/3 `
` c) ({-5}/7 + 14/11) + ({-11}/14 + 14/{-11}) `
` = {-5}/7 + 14/11 - 11/14 - 14/11 `
` = ({-5}/7 - 11/14) + (14/11 - 14/11) `
` = {-10}/14 - 11/14 + 0 `
` = {-21}/14 `
` = {-3}/2 `
`a) 1 - 5/6 + 2/3`
`= 1/6 + 2/3`
`= 5/6`
`b) 2/7 - 3/8 + 11/7 - ( -1/3 ) + 1/7 - 5/8`
`= 2/7 - 3/8 + 11/7 + 1/3 + 1/7 - 5/8`
`= 2/7 - ( 3/8 + 5/8 ) + ( 11/7 + 1/7 ) + 1/3`
`= 2/7 - 8/8 + 12/7 + 1/3`
`= ( 2/7 + 12/7 ) - 1 + 1/3`
`= 14/7 - 1 + 1/3`
`= 2 - 1 + 1/3`
`= 1 + 1/3`
`= 1 1/3 = 4/3`
`c) ( -5/7 + 14/11 ) + ( -11/14 + 14/-11 )`
`= -5/7 + 14/11 - 11/14 + 14/-11`
`= ( -5/7 - 11/14 ) + ( 14/11 - 14/11 )`
`= -21/14 + 0`
`= -3/2 `