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5 tháng 3 2017

a) \(\left(\frac{1}{5}+\frac{3}{5}\right)\times\frac{1}{4}\)

\(=\frac{4}{5}\times\frac{1}{4}\)

\(=\frac{4}{20}=\frac{1}{5}\)

\(\left(\frac{1}{5}+\frac{3}{5}\right)\times\frac{1}{4}=\frac{1}{5}\times\frac{1}{4}+\frac{3}{5}\times\frac{1}{4}\)

                                  \(=\frac{1}{20}+\frac{3}{20}\)

                                    \(=\frac{4}{20}=\frac{1}{5}\)

b) \(\left(\frac{7}{9}-\frac{2}{9}\right)\times\frac{3}{2}\)

\(=\frac{5}{9}\times\frac{3}{2}\)

\(=\frac{15}{18}=\frac{5}{6}\)

\(\left(\frac{7}{9}-\frac{2}{9}\right)\times\frac{3}{2}=\frac{7}{9}\times\frac{3}{2}-\frac{2}{9}\times\frac{3}{2}\)

                                  \(=\frac{21}{18}-\frac{6}{18}\)

                                   \(=\frac{15}{18}=\frac{5}{6}\)

c) \(\left(\frac{11}{13}-\frac{9}{13}\right)\times\frac{39}{21}\)

\(=\frac{2}{13}\times\frac{39}{21}\)

\(=\frac{78}{273}=\frac{2}{7}\)

\(\left(\frac{11}{13}-\frac{9}{13}\right)\times\frac{39}{21}=\frac{11}{13}\times\frac{39}{21}-\frac{9}{13}\times\frac{39}{21}\)

                                       \(=\frac{429}{273}-\frac{351}{273}\)

                                         \(=\frac{78}{273}=\frac{2}{7}\)

5 tháng 3 2017

a,\(\left(\frac{1}{5}+\frac{3}{5}\right)x\frac{1}{4}\)

=\(\frac{4}{5}x\frac{1}{4}\)

=\(\frac{4}{20}\)

=\(\frac{1}{5}\)

,\(\left(\frac{1}{5}+\frac{3}{5}\right)x\frac{1}{4}\)

=\(\frac{4}{5}x\frac{1}{4}\)

=\(\frac{4x1}{5x4}\)

=\(\frac{1x1}{5x1}\)

=\(\frac{1}{5}\)

24 tháng 4 2017

A. C1: (6/11 + 5/11) x 3/7 = 1 x 3/7 = 3/7

C2: (6/11 + 5/11) x 3/7 = 6/11 x 3/7 + 5/11 x 3/7 = 18/77 + 15/77 = 3/7

24 tháng 4 2017

a)Cách 1:

(6/11+5/11)x3/7

=11/11x3/7

=1x3/7

=3/7

Cách 2:

(6/11+5/11)x3/7

=6/11x3/7+5/11x3/7

=18/77    +    15/77

=33/77

=3/7 (mink đã rút gọn)

k nhé

13 tháng 2 2023

`3/7 + 4/5 + 4/7`

`= (3/7 +4/7)+4/5`

`= 7/7 +4/5`

`= 1 + 4/5`

`= 5/5 +4/5`

`=9/5`

`------`

`6/11 + 2/15 + 5/11`

`=(6/11 + 5/11)+2/15`

`= 1 + 2/15`

`= 15/15 +2/15`

`= 17/15`

`-----`

`4/9 + 2/5 + 15/27`

`= (4/9 + 15/27 )+2/5`

`= 1+2/5`

`=5/5 +2/5`

`=7/5`

`-----`

`6/13 + 9/32 + 21/26`

`= (6/13 + 21/26)+9/32`

`= ( 12/26 + 21/26)+9/32`

`= 33/26 +9/32`

`=645/416`

20 tháng 3 2016

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12 tháng 5 2016

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b) <

c) >

27 tháng 8 2020

\(A=\frac{2}{1\cdot3}+\frac{2}{3\cdot5}+\frac{2}{5\cdot7}+\frac{2}{7\cdot9}+\frac{2}{9\cdot11}+\frac{2}{11\cdot13}+\frac{2}{13\cdot15}\)

\(A=1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{13}-\frac{1}{15}=1-\frac{1}{15}=\frac{14}{15}\)

27 tháng 8 2020

Bài làm:

Ta có: \(A=\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{13.15}\)

\(A=1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{13}-\frac{1}{15}\)

\(A=1-\frac{1}{15}\)

\(A=\frac{14}{15}\)

27 tháng 2 2023

`a, 4/9 + 2/5 + 5/9= (4/9 +5/9) + 2/5= 1 + 2/5= 5/5 + 2/5= 7/5`

`b, 6/13 + 5/8 + 7/13=(6/13 + 7/13) + 5/8=1+5/8= 8/8 + 5/8= 13/8`

`c, 5/11 + 6/25 + 66/121 = ( 5/11 + 66/121 ) + 6/25=1 + 6/25 = 25/25 + 6/25 = 31/25`

`d, 1/2 + 1/3 + 1/4 + 1/6 + 1/12 + 1/24= (1/2 + 1/4) +(1/3 + 1/6) + (1/12 + 1/24)= 3/4 + 1/2 + 1/8=  6/8 + 4/8 + 1/8= 11/8`

`@ yl`

3 tháng 3 2023

`4/7+4`

`=4/7+4/1`

`=4/7+28/7`

`=32/7`

__

`3+6/11`

`=33/11+6/11`

`=39/11`

__

`3-5/7`

`=3/1-5/7`

`=21/7-5/7`

`=16/7`

__

`21/9-2`

`=21/9-18/9`

`=3/9`

`=1/3`

__

`15/24+2`

`=15/24+48/24`

`=63/24`

`=21/16`

__

`63/45-20/25`

`=63/45-4/5`

`=63/45-36/45`

`=27/45`

`=9/15`

__

`3/4-2/8`

`=3/4-1/4`

`=2/4`

__

`6/7-5/8`

`=48/56-35/56`

`=13/56`

__

`37/45-5/9`

`=37/45-25/45`

`=12/45`

`=4/15`

__

`46/39-11/13`

`=46/39-33/39`

`=13/39`

`=1/2`

__

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

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

`=14/12+4/12`

`=18/12`

`=3/2`

__

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

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

`=13/14+11/14`

`=24/14`

`=12/7`

__

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

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

`=7/10-9/20`

`=14/20-9/20`

`=5/20`

`=1/4`

__

`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`

25 tháng 6 2023

\(\dfrac{2}{7}+\dfrac{5}{9}+\dfrac{5}{7}+\dfrac{11}{13}+\dfrac{1}{3}+\dfrac{2}{13}\)

\(=\left(\dfrac{2}{7}+\dfrac{5}{7}\right)+\left(\dfrac{5}{9}+\dfrac{1}{3}\right)+\left(\dfrac{11}{13}+\dfrac{2}{13}\right)\)

\(=1+\dfrac{8}{9}+1\)

\(=\dfrac{9}{9}+\dfrac{8}{9}+\dfrac{9}{9}\)

\(=\dfrac{26}{9}\)

Chúc bạn học tốt

`a: =(7/3-4/3)+11/5=16/5`

`b: =(18/13-5/13)+55/46=1+55/46=101/46`

`c: =27/25-4/9-2/25+5/9=(27/25-2/25)+(5/9-4/9)=1+1/9=10/9`