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`2/3+1/5 = 10/15 + 3/15 = 13/15`

`3/7+9/14 = 6/14 + 9/14 = 15/14`

`5/12 + 3/4 = 5/12 + 9/12 = 14/12 = 7/6`

`3/5+5/6 = 18/30 + 25/30 = 43/30 `

11 tháng 6 2023

\(a,\dfrac{2}{3}+\dfrac{1}{5}=\dfrac{10+3}{15}=\dfrac{13}{15}\)

\(b,\dfrac{3}{7}+\dfrac{9}{14}=\dfrac{6}{14}+\dfrac{9}{14}\)

\(=\dfrac{15}{14}\)

\(c,\dfrac{5}{12}+\dfrac{3}{4}=\dfrac{5}{12}+\dfrac{9}{12}\)

\(=\dfrac{14}{12}=\dfrac{7}{6}\)

\(d,\dfrac{3}{5}+\dfrac{5}{6}\) \(=\dfrac{18+25}{30}=\dfrac{43}{30}\)

a) Ta có: \(\dfrac{-5}{7}\left(\dfrac{14}{5}-\dfrac{7}{10}\right):\left|-\dfrac{2}{3}\right|-\dfrac{3}{4}\left(\dfrac{8}{9}+\dfrac{16}{3}\right)+\dfrac{10}{3}\left(\dfrac{1}{3}+\dfrac{1}{5}\right)\)

\(=\dfrac{-5}{7}\cdot\dfrac{3}{2}\cdot\dfrac{21}{10}-\dfrac{3}{4}\cdot\dfrac{56}{3}+\dfrac{10}{3}\cdot\dfrac{8}{15}\)

\(=\dfrac{-9}{4}-14+\dfrac{16}{9}\)

\(=\dfrac{-1621}{126}\)

b) Ta có: \(\dfrac{17}{-26}\cdot\left(\dfrac{1}{6}-\dfrac{5}{3}\right):\dfrac{17}{13}-\dfrac{20}{3}\left(\dfrac{2}{5}-\dfrac{1}{4}\right)+\dfrac{2}{3}\left(\dfrac{6}{5}-\dfrac{9}{2}\right)\)

\(=\dfrac{-17}{26}\cdot\dfrac{13}{17}\cdot\dfrac{-3}{2}-\dfrac{20}{3}\cdot\dfrac{3}{20}+\dfrac{2}{3}\cdot\dfrac{-33}{10}\)

\(=\dfrac{3}{4}-1-\dfrac{11}{5}\)

\(=-\dfrac{49}{20}\)

3 tháng 3 2023

`4/7+4`

`=4/7+4/1`

`=4/7+28/7`

`=32/7`

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`3+6/11`

`=33/11+6/11`

`=39/11`

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`3-5/7`

`=3/1-5/7`

`=21/7-5/7`

`=16/7`

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`21/9-2`

`=21/9-18/9`

`=3/9`

`=1/3`

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`15/24+2`

`=15/24+48/24`

`=63/24`

`=21/16`

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`63/45-20/25`

`=63/45-4/5`

`=63/45-36/45`

`=27/45`

`=9/15`

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`3/4-2/8`

`=3/4-1/4`

`=2/4`

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`6/7-5/8`

`=48/56-35/56`

`=13/56`

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`37/45-5/9`

`=37/45-25/45`

`=12/45`

`=4/15`

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`46/39-11/13`

`=46/39-33/39`

`=13/39`

`=1/2`

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`5/12+3/4+1/3`

`=5/12+9/12+4/12`

`=14/12+4/12`

`=18/12`

`=3/2`

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`1/2+3/7+11/14`

`=7/14+6/14+11/14`

`=13/14+11/14`

`=24/14`

`=12/7`

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`7/10-(1/5+1/4)`

`=7/10-(4/20+5/20)`

`=7/10-9/20`

`=14/20-9/20`

`=5/20`

`=1/4`

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`15/4-2/3-3/4`

`=(15/4-3/4)-2/3`

`=12/4-2/3`

`=3-2/3`

`=9/3-2/3`

`=7/3`

a: =-5-7-8-3=-26

b: =-4-2-5-6=-17

c: =-8-11-4-2=-25

d: -9-15-6-3=-30

e: =-12-9-3-8=-32

11 tháng 7 2017

1) \(\left|4-2x\right|.\dfrac{1}{3}=\dfrac{1}{3}\)

\(\left|4-2x\right|=\dfrac{1}{3}:\dfrac{1}{3}\)

\(\left|4-2x\right|=\dfrac{1}{3}.3\)

\(\left|4-2x\right|=1\)

=>\(4-2x=\pm1\)

+)\(TH1:4-2x=1\) +)\(TH2:4-2x=-1\)

\(2x=4-1\) \(2x=4-\left(-1\right)\)

\(2x=3\) \(2x=4+1\)

\(x=3:2\) \(2x=5\)

\(x=1,5\) \(x=5:2\)

Vậy x=1,5 \(x=2,5\)

Vậy x=2,5

11 tháng 7 2017

2) \(\left(-3\right)^2:\left|x+\left(-1\right)\right|=-3\)

\(9:\left|x+\left(-1\right)\right|=-3\)

\(\left|x+\left(-1\right)\right|=9:\left(-3\right)\)

\(\left|x+\left(-1\right)\right|=-3\)

=> \(x+\left(-1\right)\) sẽ không có giá trị nào ( Vì giá trị tuyệt đối luôn luôn lớn hơn hoặc bằng 0 )

Vậy x = \(\varnothing\)

15 tháng 11 2021
|2x-1|+1=4