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6 tháng 3 2018
4x3/8=3/2 6/5:3/7=14/5 5/8:1/2=5/4
15 tháng 4 2021

a) \(\dfrac{3}{5}+x=\dfrac{4}{3}\) 

\(\Leftrightarrow x=\dfrac{4}{3}-\dfrac{3}{5}\)

\(\Leftrightarrow x=\dfrac{20}{15}-\dfrac{9}{15}\) 

\(\Leftrightarrow x=\dfrac{11}{15}\)

b) \(x+\dfrac{5}{6}=\dfrac{1}{7}\)

\(\Leftrightarrow x=\dfrac{1}{7}-\dfrac{5}{6}\)

\(\Leftrightarrow x=\dfrac{6}{42}-\dfrac{35}{42}\)

\(\Leftrightarrow x=-\dfrac{29}{42}\)

c) \(x\times\dfrac{3}{8}=\dfrac{3}{4}\)

\(\Leftrightarrow x=\dfrac{3}{4}:\dfrac{3}{8}\)

\(\Leftrightarrow x=\dfrac{3}{4}\times\dfrac{8}{3}\)

\(\Leftrightarrow x=2\)

d) \(\dfrac{4}{5}\times x=\dfrac{3}{7}\)

\(\Leftrightarrow x=\dfrac{3}{7}:\dfrac{4}{5}\)

\(\Leftrightarrow x=\dfrac{3}{7}\times\dfrac{5}{4}\)

\(\Leftrightarrow x=\dfrac{15}{28}\)

15 tháng 4 2021

a, \(\dfrac{3}{5}+x=\dfrac{4}{3}\Leftrightarrow x=\dfrac{4}{3}-\dfrac{3}{5}=\dfrac{20-9}{15}=\dfrac{11}{15}\)

b, \(x+\dfrac{5}{6}=\dfrac{1}{7}\Leftrightarrow x=\dfrac{1}{7}-\dfrac{5}{6}=\dfrac{6-35}{42}=\dfrac{-29}{42}\)

c, \(\dfrac{3x}{8}=\dfrac{3}{4}\Leftrightarrow\dfrac{3x}{8}=\dfrac{6}{8}\Rightarrow3x=6\Leftrightarrow x=2\)

d, \(\dfrac{4x}{5}=\dfrac{3}{7}\Leftrightarrow\dfrac{28x}{35}=\dfrac{15}{35}\Rightarrow x=\dfrac{15}{28}\)

21 tháng 3 2022

a) \(\dfrac{5}{8}+\dfrac{4}{9}=\dfrac{45}{72}+\dfrac{32}{72}=\dfrac{77}{72}\)

b) \(\dfrac{10}{14}-\dfrac{3}{7}=\dfrac{10}{14}-\dfrac{6}{14}=\dfrac{4}{14}=\dfrac{2}{7}\)

c) \(\dfrac{7}{10}\times\dfrac{25}{24}=\dfrac{175}{240}=\dfrac{35}{48}\)

d) \(\dfrac{3}{4}\div\dfrac{9}{6}=\dfrac{3}{4}\times\dfrac{6}{9}=\dfrac{18}{36}=\dfrac{1}{2}\)

21 tháng 3 2022

a.77/52

b.2/7

c.35/48

d.1/2

a.\(\dfrac{27}{8}\)

 

b.\(\dfrac{37}{40}\)
c.\(\dfrac{5}{2}\)

d.\(\dfrac{7}{3}\)

e.5

g.\(\dfrac{53}{16}\)

6 tháng 4 2022

Bài 1 :

a) \(\dfrac{3}{2}+\dfrac{5}{4}+\dfrac{5}{8}=\dfrac{12}{8}+\dfrac{10}{8}+\dfrac{5}{8}=\dfrac{12+10+5}{8}=\dfrac{27}{8}\)

b) \(\dfrac{4}{5}-\dfrac{3}{8}+\dfrac{2}{4}=\dfrac{32}{40}-\dfrac{15}{40}+\dfrac{20}{40}=\dfrac{32-15+20}{40}=\dfrac{37}{40}\)

c) \(3+\dfrac{6}{8}-\dfrac{5}{4}=\dfrac{3}{1}+\dfrac{6}{8}-\dfrac{5}{4}=\dfrac{24}{8}+\dfrac{6}{8}-\dfrac{10}{8}=\dfrac{20}{8}=\dfrac{5}{2}\)

d) \(\dfrac{5}{6}-\dfrac{1}{2}+2=\dfrac{5}{6}-\dfrac{1}{2}+\dfrac{2}{1}=\dfrac{5}{6}-\dfrac{3}{6}+\dfrac{12}{6}=\dfrac{14}{6}=\dfrac{7}{3}\)

e) \(\dfrac{3}{5}+\dfrac{6}{11}+\dfrac{7}{13}+\dfrac{2}{5}+\dfrac{16}{11}+\dfrac{19}{13}=\left(\dfrac{3}{5}+\dfrac{2}{5}\right)+\left(\dfrac{6}{11}+\dfrac{16}{11}\right)+\left(\dfrac{7}{13}+\dfrac{19}{13}\right)=1+2+2=5\)

g) \(\dfrac{75}{100}+\dfrac{18}{21}+\dfrac{29}{32}+\dfrac{1}{4}+\dfrac{3}{21}+\dfrac{13}{32}=\dfrac{3}{4}+\dfrac{6}{7}+\dfrac{29}{32}+\dfrac{1}{4}+\dfrac{1}{7}+\dfrac{13}{32}=\left(\dfrac{3}{4}+\dfrac{1}{4}\right)+\left(\dfrac{6}{7}+\dfrac{1}{7}\right)+\left(\dfrac{29}{32}+\dfrac{13}{32}\right)=1+1+\dfrac{21}{16}=2+\dfrac{21}{16}=\dfrac{53}{16}\)

3 tháng 5 2022

Phân số tối giản là `5/9`

\(x-\dfrac{1}{4}=\dfrac{5}{3}:\dfrac{2}{3}\)

\(x-\dfrac{1}{4}=\dfrac{5}{3}\times\dfrac{3}{2}\)

\(x-\dfrac{1}{4}=\dfrac{5}{2}\)

\(x=\dfrac{5}{2}+\dfrac{1}{4}\)

\(x=\dfrac{11}{4}\)

3 tháng 5 2022

phân ssoos tối giản là 5/9

x - 1/4 = 5/3 : 2/3

x - 1/4 = .5/3 x 3/2

x - 1/4 = 5/2

x         = .5/2 + 1/4

x         =.11/4

14 tháng 3 2023

`39/16 : 5/8 - 7/16 : 5/8`

`=39/16 xx 8/5- 7/16 xx 8/5`

`=8/5 xx (39/16 - 7/16)`

`= 8/5 xx2`

`= 16/5`

__

` 4/3 xx 9/8 - 4/3 xx 3/8`

`=4/3 -(9/8 - 3/8)`

`= 4/3 xx 3/4`

`=1`

14 tháng 3 2023

\(a,\\ \dfrac{39}{16}:\dfrac{5}{8}-\dfrac{7}{16}:\dfrac{5}{8}\\ =\dfrac{39}{16}\cdot\dfrac{8}{5}-\dfrac{7}{16}\cdot\dfrac{8}{5}\\ =\dfrac{8}{5}\cdot\left(\dfrac{39}{16}-\dfrac{7}{16}\right)=\dfrac{8}{5}\cdot2=\dfrac{16}{5}\\ b,\\ \dfrac{4}{3}\cdot\dfrac{9}{8}-\dfrac{4}{3}\cdot\dfrac{3}{8}=\dfrac{3}{2}-\dfrac{1}{2}=1\)

18 tháng 5 2020

Bài 1:

a,Ta có:\(\frac{3}{5}=\frac{3\times2}{5\times2}=\frac{6}{10}\)      (1)

              \(\frac{4}{5}=\frac{4\times2}{5\times2}=\frac{8}{10}\)       (2)

Từ (1) và (2)=> Một phân số tối giản nằm giữa hai phân số trên là:\(\frac{7}{10}\)

b,Ta có:\(\frac{3}{5}=\frac{3\times3}{5\times3}=\frac{9}{15}\)

               \(\frac{4}{5}=\frac{4\times3}{5\times3}=\frac{12}{15}\)

=> hai phân số ở giữa là:\(\frac{10}{15}=\frac{2}{3};\frac{11}{12}\)

14 tháng 12 2023

3. Tính bằng cách thuận tiện nhất

A, 36 x 532 + 63 x 532 + 532

= (36 + 63 + 1) x 532 = 100 x 532 = 53 200

B, 679 x 123 + 679 - 679 x 24

= 679 x (123 + 1 - 24)

= 679 x 100 = 67 900

C, 245 x 327 - 245 x 18 - 9 x 245

= 245 x (327 - 18 - 9)

= 245 x 300

= 73 500

14 tháng 12 2023

Bài 2:

a: \(6\cdot\left(x+9845\right)=29042\)

=>\(x+9845=\dfrac{29042}{6}=\dfrac{14521}{3}\)

=>\(x=\dfrac{14521}{3}-9845=-\dfrac{15014}{3}\)

b: \(\left(x:3\right)\cdot8=8\cdot3198\)

=>\(x:3=3198\)

=>\(x=3198\cdot3=9594\)

Bài 1:

a: \(225886+779\cdot8\)

\(=225886+6232\)

\(=232118\)

b: \(125\cdot5\cdot20\cdot8\)

\(=\left(125\cdot8\right)\cdot\left(5\cdot20\right)\)

\(=1000\cdot100=100000\)

c: \(47286:2+14765\)

\(=23643+14765\)

=38408

d: \(91428-23560:5\)

\(=91428-4712\)

=86716

12 tháng 4 2022

a.\(y:\dfrac{4}{5}=\dfrac{11}{8}\)

\(y=\dfrac{11}{8}\times\dfrac{4}{5}\)

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

b.\(\dfrac{11}{3}-y=\dfrac{1}{9}\)

\(y=\dfrac{11}{3}-\dfrac{1}{9}\)

\(y=\dfrac{32}{9}\)

c.\(\dfrac{1}{7}\times x=\dfrac{8}{5}\)

\(x=\dfrac{8}{5}:\dfrac{1}{7}\)

\(x=\dfrac{56}{5}\)

12 tháng 4 2022

\(y=\dfrac{11}{8}.\dfrac{4}{5}\)

\(y=\dfrac{44}{40}\)

 

\(x=\dfrac{11}{3}-\dfrac{1}{9}\)

\(x=\dfrac{99-3}{27}=\dfrac{96}{27}\)

 

\(x=\dfrac{8}{5}:\dfrac{1}{7}\)

\(x=\dfrac{56}{5}\)

19 tháng 3 2022

 3/10 x x=2/5 

x = 2/5:3/10

x = 4/3

1/8 : x  = 1/2 

x = 1/8:1/2

x= 1/4

5/6 : 3/4  = 5/6x4/2= 10/9

1: 2/3= 1/1 x 3/2= 3/2

5/6 + 3/4  = 19/12

1 + 2/3= 1/1+2/3= 5/3

 5/6 - 3/4 = 1/12

1 - 2/3= 1/1-2/3= 1/3

5/6 x 3/4= 5/8

1/1x2/3= 2/3