Tính: a) $\frac{-5}{12}$ . $\frac{4}{19}$ + $\frac{7}{12}$ . $\frac{-4}{19}$ + $\frac{4}{19}$ - $\frac{40}{19}$ b) $\frac{6}{13}$ . $\frac{5}{18}$ + $\frac{-7}{24}$ + $\frac{5}{18}$ . $\frac{7}{13}$ + $\frac{-5}{24}$ c) ( $\frac{4}{5}$ + $\frac{2}{3}$ ) : $\frac{1}{5}$ - 1,4 . $(\frac{-5}{7})^{2}$
2 câu trả lời
Đáp án+Giải thích các bước giải:
`a. {-5}/{12} . 4/{19} + 7/{12} . {-4}/{19} + 4/{19}-{40}/{19}`
`={-4}/{19}(5/{12}+7/{12}-1)-{40}/{19}`
`={-4}/{19}({5+7-12}/{12})-{40}/{19}`
`={-4}/{19}.0-{40}/{19}`
`=0-{40}/{19}`
`={-40}/{19}`
`b. 6/{13}.5/{18}+{-7}/{24}+5/{18}.7/{13}+{-5}/{24}`
`=5/{18}(6/{13}+7/{13})+({-7}/{24}-5/{24})`
`=5/{18}({6+7}/{13})+({-7-5}/{24})`
`=5/{18}.1+{-12}/{24}`
`=5/{18}-1/{2}`
`={5-9}/{18}`
`={-4}/{18}`
`={-2}/9`
`c. (4/5+2/3):1/5-1,4.({-5}/{7})^2`
`={12+10}/{15}:1/5-7/5.{25}/{49}`
`={22}/{15}.5-5/7`
`={22}/3-5/7`
`={154-15}/{21}`
`={139}/{21}`
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@Changg_Aquatic World
a) -5/12. 4/19 + 7/12.-4/19 + 4/19 - 40/19
= -5/12. 4/19 + -7/12.4/19 + 4/19 - 40/19
= 4/19. (-5/12 + -7/12 + 1) - 40/19
= 4/19. -11/12 - 40/19
= -11/57 - 40/19
= -131/57 = -2.29824561404
b) 6/13. 5/18 + -7/24 + 5/18. 7/13 + -5/24
= 5/18. (6/13 + 7/13) + (-7/24 + -5/24)
= 5/18. -1/2
= -5/36 = -0.13888888888
c) (4/5 + 2/3) : 1/5 - 1,4. (-5/7)^2
= (4/5 + 2/3) : 1/5 - 7/5. (-25/49)
= 22/15 : 1/5 + 5/7
= 22/3 + 5/7
= 154/21 + 15/21
= 169/21 = 8.04761904762