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a) Ta có: \(7\cdot\dfrac{3}{14}-\dfrac{1}{14}\)

\(=\dfrac{3}{2}-\dfrac{1}{14}\)

\(=\dfrac{21}{14}-\dfrac{1}{14}\)

\(=\dfrac{10}{7}\)

b) Ta có: \(\dfrac{3}{2}+\dfrac{7}{4}:\dfrac{5}{2}\)

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

\(=\dfrac{3}{2}+\dfrac{7}{10}\)

\(=\dfrac{15}{10}+\dfrac{7}{10}=\dfrac{22}{10}=\dfrac{11}{5}\)

AH
Akai Haruma
Giáo viên
11 tháng 7 2021

Lời giải:
\(7\times \frac{3}{14}-\frac{1}{14}=\frac{7\times 3}{14}-\frac{1}{14}=\frac{21}{14}-\frac{1}{14}=\frac{21-1}{14}=\frac{20}{14}=\frac{2\times 10}{2\times 7}=\frac{10}{7}\)

\(\frac{3}{2}+\frac{7}{4}:\frac{5}{2}=\frac{3}{2}+\frac{7}{4}\times \frac{2}{5}=\frac{3}{2}+\frac{7\times 2}{4\times 5}=\frac{3}{2}+\frac{7\times 2}{2\times 2\times 5}\)

\(=\frac{3}{2}+\frac{7}{2\times 5}=\frac{3\times 5}{2\times 5}+\frac{7}{2\times 5}=\frac{3\times 5+7}{2\times 5}=\frac{22}{2\times 5}=\frac{2\times 11}{2\times 5}=\frac{11}{5}\)

a: =11/2*4*5/3

=22*5/3

=110/3

b: =30/12-3/12+20/12

=47/12

c: =28/15+5

=28/15+75/15

=103/15

10 tháng 5 2023

`7 xx 3/14 -1/14`

`= 21/14 -1/14`

`= 20/14`

`=10/7`

__

`3/2 + 7/4 xx 2/5`

`= 3/2 + 14/20`

`= 3/2 + 7/10`

`= 15/10 +7/10`

`= 23/10`

__

`9/8 : 3 + 7/3 : 3`

`= 9/8 xx 1/3 + 7/3 xx 1/3`

`=1/3 xx ( 9/8 + 7/3)`

`= 1/3 xx 83/24`

`= 83/72`

__

`2 : 3/4 - 5/8 xx 4/3`

`= 2 xx 4/3 - 5/8 xx 4/3`

`= 4/3 xx ( 2-5/8)`

`= 4/3 xx ( 16/8 -5/8)`

`= 4/3 xx 11/8`

`= 44/24`

`=11/6`

` @ \color{Red}{sushiteam}`

17 tháng 5 2022

\(4+\dfrac{3}{5}=\dfrac{20}{5}+\dfrac{3}{5}=\dfrac{23}{5}\)

\(\dfrac{1}{5}+\dfrac{2}{7}=\dfrac{7}{35}+\dfrac{10}{35}=\dfrac{17}{35}\)

\(\dfrac{4}{7}\times\dfrac{14}{3}=\dfrac{56}{21}=\dfrac{8}{3}\)

\(\dfrac{5}{6}:\dfrac{4}{9}=\dfrac{5}{6}\times\dfrac{9}{4}=\dfrac{15}{8}\)

17 tháng 5 2022

\(4+\dfrac{3}{5}=\dfrac{20}{5}+\dfrac{3}{5}=\dfrac{23}{5}\)

 

\(\dfrac{1}{5}+\dfrac{2}{7}=\dfrac{7}{35}+\dfrac{5}{35}=\dfrac{12}{35}\)

 

\(\dfrac{4}{7}\times\dfrac{14}{3}=\dfrac{56}{21}=\dfrac{8}{3}\)

 

\(\dfrac{5}{6}:\dfrac{4}{9}=\dfrac{5}{6}\times\dfrac{9}{4}=\dfrac{15}{8}\)

12 tháng 3 2023

5/2 - 1/4 + 5/3

= 10/4 - 1/4 + 5/3

= 9/4 + 5/3

= 27/12 + 20/12

= 47/12

 

11/2 : 1/4 x 5/3

= 11/2 x 4/1 x 5/3

= 44/2 x 5/3

= 220/6

= 110/3

 

14/5 x 2/3 + 5

= 28/15 + 5

= 28/15 + 75/15

= 103/15

 

12 tháng 3 2023

nhớ ghi cách giải nha mình tick luôn

a: =10/15-9/15+5/12

=1/15+5/12

=4/60+25/60=29/60

b: =3/7+5/14=6/14+5/14=11/14

12 tháng 5 2022

a,=8/12+5/12-3/5

=13/12-3/5

=29/60

b,=3/7+5/14

=6/14+5/14

=11/14

9 tháng 5 2022

98775 - 32 x 85

=98775 -2720

=96055

 

 67500 - 24 x 236

= 67500 -5664

=61836

 

 568 + 101598 : 287

= 568 +354

=922

 

6875 + 980 -180  

=7855 -180 

=7675

 

9 tháng 5 2022

\(\dfrac{2}{5}+\dfrac{3}{10}-\dfrac{1}{2}\)

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

\(\dfrac{1}{5}\)

 

\(\dfrac{8}{11}+\dfrac{8}{33}x\dfrac{3}{4}\)

\(=\dfrac{8}{11}+\dfrac{2}{11}\)

\(=\dfrac{10}{11}\)

 

\(\dfrac{7}{9}x\dfrac{3}{14}:\dfrac{5}{8}\)

\(=\dfrac{1}{6}:\dfrac{5}{8}\)

\(=\dfrac{1}{6}x\dfrac{8}{5}\)

\(=\dfrac{8}{30}\)

\(=\dfrac{4}{15}\)

 

\(\dfrac{5}{12}-\dfrac{7}{32}:\dfrac{21}{16}\)

\(=\dfrac{5}{12}-\dfrac{7}{32}x\dfrac{16}{21}\)

\(=\dfrac{5}{12}-\dfrac{1}{6}\)

\(=\dfrac{5}{12}-\dfrac{2}{12}\)

\(=\dfrac{3}{12}=\dfrac{1}{4}\)

a) \(\dfrac{x}{y}\times\dfrac{3}{4}=\dfrac{5}{6}+\dfrac{1}{3}\)

    \(\dfrac{x}{y}\times\dfrac{3}{4}=\dfrac{7}{6}\)

     \(\dfrac{x}{y}=\dfrac{7}{6}:\dfrac{3}{4}\)

     \(\dfrac{x}{y}=\dfrac{14}{9}\)

 

b) \(\dfrac{7}{9}:\dfrac{x}{y}=\dfrac{10}{7}-\dfrac{13}{14}\)

    \(\dfrac{7}{9}:\dfrac{x}{y}=\dfrac{1}{2}\)

          \(\dfrac{x}{y}=\dfrac{7}{9}:\dfrac{1}{2}\)

            \(\dfrac{x}{y}=\dfrac{14}{9}\)