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17 tháng 8 2023

\(a,\dfrac{2}{7}+\dfrac{5}{7}.\dfrac{7}{10}-\dfrac{1}{14}\)

\(=\dfrac{1}{7}.2+\dfrac{1}{7}.5.\dfrac{7}{10}-\dfrac{1}{7}.\dfrac{1}{2}\)

\(=\dfrac{1}{7}.\left(2+\dfrac{35}{10}-\dfrac{1}{2}\right)\)

\(=\dfrac{1}{7}.\left(\dfrac{4}{2}+\dfrac{7}{2}-\dfrac{1}{2}\right)\)

\(=\dfrac{1}{7}.5=\dfrac{5}{7}\)

\(b,\left(3\dfrac{1}{2}-\dfrac{2}{3}\right).\dfrac{7}{34}-\dfrac{5}{34}\)

\(=\left(\dfrac{7}{2}-\dfrac{2}{3}\right).\dfrac{7}{34}-\dfrac{7}{34}.\dfrac{5}{7}\)

\(=\dfrac{7}{34}.\left(\dfrac{17}{6}-\dfrac{5}{7}\right)\)

\(=\dfrac{7}{34}.\dfrac{89}{42}=\dfrac{89}{204}\)

a: =2/7-1/14+5/10

=2/7-1/14+1/2

=4/14-1/14+7/14

=10/14=5/7

b: =(7/2-2/3)*7/34-5/34

\(=\dfrac{21-4}{6}\cdot\dfrac{7}{34}-\dfrac{5}{34}\)

\(=\dfrac{7}{6}\cdot\dfrac{1}{2}-\dfrac{5}{34}=\dfrac{7}{12}-\dfrac{5}{34}=\dfrac{89}{204}\)

2 tháng 10 2021

a)  \(\frac{2}{5}+\frac{2}{3}+\frac{3}{5}\)

=  \(\left(\frac{2}{5}+\frac{3}{5}\right)+\frac{2}{3}\)

=  \(\frac{2}{3}+1\)=  \(\frac{5}{3}\)

b)  \(\frac{6}{7}-\frac{5}{14}-\frac{3}{7}\)

=  \(\frac{3}{7}-\frac{5}{14}\)

=  \(\frac{6-5}{14}\)  \(=\frac{1}{14}\)

17 tháng 10 2021

\(13,=-1-1-...-1+101\)

Tổng trên có \(\left(100-1+1\right):2=50\) (số -1)

Vậy tổng trên \(=-50+101=51\)

 

`@` `\text {Ans}`

`\downarrow`

`1,`

\(1+(-4)+7+(-10)+13\)

`= 1+(7+13)+(-4-10)`

`= 1+10-14`

`= 11-14`

`= -3`

`2, `

\(-2+7+(-12)+17+(-22)\)

`= -2+(7+17)+(-12-22)`

`= -2 + 24 - 24`

`= -2`

`3,`

\(44+45+46+47-24-25-26-27\)

`= (44 - 24)+(45 - 25) + (46 - 26)+(47 - 27)`

`= 20 + 20 + 20 + 20`

`= 40`

`4,`

\((-213)+186+(-14)+217+54+(-49)\)

`= (186 + 54)+(-213-14-49) + 217`

`= 240 - 276 + 217`

`= -36 + 217 = 181`

c) Ta có: \(\dfrac{3}{5}+\dfrac{-5}{20}+\dfrac{30}{75}+\dfrac{-7}{4}\)

\(=\dfrac{3}{5}+\dfrac{2}{5}+\dfrac{-1}{4}+\dfrac{-7}{4}\)

\(=1-2=-1\)

Giải:

a)-1/12+4/3=-1/12+16/12=15/12=5/4

b)(-4/14-3/15)-(1/5-20/35-(-1)).7

=-17/35-22/35.7

=-17/35-22/5

=-171/35

c)3/5+-5/20+30/75+-7/4

=3/5+-1/4+2/5+-7/4

=(3/5+2/5)+(-1/4+-7/4)

=1+-2

=-1

d)5/6.-12/14+7/13

=-5/7+7/13

=-16/91

e)2/-9-5/-36-1/4

=-1/12-1/4

=-1/3

f)2/23+-5/12+7/18+21/23+-7/12

=(2/23+21/23)+(-5/12+-7/12)+7/18

=1+-1+7/18

=7/18