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

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

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

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

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`

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`

16 tháng 4 2022

Giải chi tiết cho mình nha

2/5 + 11/15 = 17/15
7/8 - 7/9 = 7/72
11/13 x 26/31 = 22/31
16/24 : 4 = 1/6
30 : 6/5 = 25
9/16 : 4 = 9/64
1/2 : 1/3 x 8/15 = 3/2 x 8/15 = 4/5

1. a) \(\frac{6}{11}+\frac{7}{5}=\frac{30}{55}+\frac{77}{55}=\frac{30+77}{55}=\frac{107}{55}\)

b) \(\frac{9}{5}-\frac{6}{7}=\frac{63}{35}-\frac{30}{35}=\frac{63-30}{35}=\frac{33}{35}\)

c) \(\frac{11}{2}-3=\frac{11}{2}-\frac{3}{1}=\frac{11}{2}-\frac{6}{2}=\frac{11-6}{2}=\frac{5}{2}\)

d) \(15+\frac{1}{3}=\frac{15}{1}+\frac{1}{3}=\frac{45}{3}+\frac{1}{3}=\frac{45+1}{3}=\frac{46}{3}\)

2. a)\(\frac{3}{7}\cdot\frac{7}{2}=\frac{21}{14}\)

b) \(6\cdot\frac{7}{9}=\frac{42}{9}\)

c) \(\frac{8}{15}\cdot5=\frac{40}{15}\)

d) \(\frac{6}{13}\cdot\frac{26}{2}=\frac{156}{26}\)

Dấu chấm mấy bài trên thay thế cho dấu nhân nhá..

20 tháng 3 2016

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12 tháng 5 2016

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b) <

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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

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

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

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

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

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

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

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

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

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

18 tháng 1 2016

\(M=\frac{2}{7.9}+\frac{2}{9.11}+\frac{2}{11.13}+\frac{2}{13.15}\)

\( M=\frac{9-7}{7.9}+\frac{11-9}{9.11}+\frac{13-11}{11.13}+\frac{15-13}{13.15}\)

\(M=\frac{9}{7.9}-\frac{7}{7.9}+\frac{11}{9.11}-\frac{9}{9.11}+\frac{13}{11.13}-\frac{11}{11.13}+\frac{15}{13.15}-\frac{13}{13.15}\)

\(M=\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}+\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}\)

\(M=\frac{1}{7}-\frac{1}{15}\)

\(M=\frac{15}{105}-\frac{7}{105}\)

\(M=\frac{8}{105}\)

Minh lam dung 100% do 

TICK CHO MINH NHA!!!!!

18 tháng 1 2016

\(M=\frac{2}{7\cdot9}+\frac{2}{9\cdot11}+\frac{2}{11\cdot13}+\frac{2}{12\cdot15}\)đề này sai bạn ạ mà toán nay là toán lớp 4 hả??