\(y=\frac{2}{1+2}+\frac{2+3}{1+2+3}+\frac{2+3+4}{1+2+3+4}+...+\frac{2+3+4+...+20}{1+2+3+4+.....">
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7 tháng 11 2017

  \(a.\) \(3\frac{3}{4}+\left(4\frac{2}{4}-3\frac{1}{2}\right):\frac{3}{4}\)

\(=\frac{15}{4}\left(\frac{18}{4}-\frac{7}{2}\right):\frac{3}{4}\)

\(=\frac{15}{4}+\frac{4}{4}:\frac{3}{4}=\frac{15}{4}+\frac{4}{3}\)

\(=\frac{15}{4}+\frac{4}{3}=\frac{61}{12}\)

\(b.\) \(7\cdot\frac{2}{3}-\frac{2}{5}:\frac{1}{2}-\frac{2}{3}\)

\(=\frac{7}{3}-\frac{2}{5}\cdot2-\frac{2}{3}\)

\(=\frac{7}{3}-\frac{4}{5}-\frac{2}{3}=\frac{35-12-10}{15}\)

\(=\frac{13}{15}\)

\(c.\) \(68,7-100:20+70,8\)

\(=68,7-5+70,8\)

\(=63,7+70,8\)

\(=134,5\)

\(d.\)\(\left(5915+445:5\right)-76\cdot25\)

\(=\left(5915+89\right)-1900\)

\(=6004-1900=4104\)

7 tháng 11 2017

a)=\(\frac{15}{4}+\left(\frac{18}{4}-\frac{7}{2}\right)\)\(\frac{3}{4}\)

=\(\left(\frac{33}{4}-\frac{14}{4}\right)\)\(\frac{3}{4}\)

\(\frac{19}{4}\cdot\frac{4}{3}\)

=\(\frac{19}{3}\)

b) = \(\frac{2}{3}\cdot\left(7-1\right)-\frac{2}{5}\cdot\frac{2}{1}\)

\(\frac{2}{3}\cdot6-\frac{4}{5}\)

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

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

c) = 68.7 - 5 + 70.8 

= 63.7 + 70.8

=134.5

d) = (5915 - 89) -76*25

= 5826 - 1900

= 3926

14 tháng 10 2016

a ) \(1\frac{1}{2}+2\frac{1}{3}+3\frac{1}{6}-5\)

\(=\frac{3}{2}+\frac{7}{3}+\frac{19}{6}-\frac{5}{1}\)

\(=\frac{9}{6}+\frac{14}{6}+\frac{19}{6}-\frac{30}{6}\)

\(=\frac{23}{6}+\frac{19}{6}-\frac{30}{6}\)

\(=\frac{42}{6}-\frac{30}{6}\)

\(=\frac{12}{6}=2\)

b ) \(2\frac{2}{3}\times3\frac{3}{4}\div4\frac{4}{5}\)

\(=\frac{8}{3}\times\frac{15}{4}\div\frac{24}{5}\)

\(=\frac{120}{12}\div\frac{24}{5}\)

\(=\frac{120}{12}\times\frac{5}{24}\)

\(=\frac{600}{288}=\frac{25}{12}\)

c ) \(4\frac{1}{5}+5\frac{1}{3}-2\frac{2}{3}\times3\frac{1}{5}+\frac{9}{25}\div\frac{9}{20}\)

\(=\frac{21}{5}+\frac{16}{3}-\frac{8}{3}\times\frac{16}{5}+\frac{9}{25}\div\frac{9}{20}\)

\(=\frac{63}{15}+\frac{80}{15}-\frac{128}{15}+\frac{9}{25}\times\frac{20}{9}\)

\(=\frac{143}{15}-\frac{128}{15}+\frac{180}{225}\)

\(=\frac{15}{15}+\frac{12}{15}\)

\(=\frac{27}{15}=\frac{9}{5}\)

20 tháng 10 2017

a)  \(1284-16401:231+58\)  x\(11=1284-71+638\)

                                                                      \(=1851\)

b)\(\frac{7}{4}+1\frac{1}{2}\)x  \(1\frac{3}{2}:\frac{1}{4}=\frac{7}{4}+15\)

                                              \(=\frac{67}{4}\)

c)\(2\frac{1}{4}+1\frac{2}{5}+\frac{4}{20}\)\(=\frac{9}{4}+\frac{7}{5}+\frac{1}{5}\)

                                            \(=\frac{77}{20}\)

d)\(\left(\frac{12}{5}+\frac{2}{3}-\frac{11}{4}\right):\frac{3}{4}=\frac{19}{60}:\frac{3}{4}\)

                                                    \(=\frac{19}{60}\)x  \(\frac{4}{3}\)

                                                     \(=\frac{19}{45}\)

\(\frac{2}{3}.\frac{4}{5}+\frac{1}{3}.\frac{4}{5}=\frac{4}{5}\left(\frac{2}{3}+\frac{1}{3}\right)=\frac{4}{5}.\frac{3}{3}=\frac{4}{5}.1=\frac{4}{5}\)

\(\frac{1}{2}:\frac{3}{4}+\frac{1}{6}:\frac{3}{4}=\frac{3}{4}:\left(\frac{1}{2}+\frac{1}{6}\right)=\frac{3}{4}:\frac{2}{3}=\frac{9}{8}\)

\(\frac{2}{3}.\frac{4}{5}-\frac{1}{3}.\frac{4}{5}=\frac{4}{5}\left(\frac{2}{3}-\frac{1}{3}\right)=\frac{4}{5}.\frac{1}{3}=\frac{4}{15}\)

\(\frac{1}{2}:\frac{3}{4}-\frac{1}{6}:\frac{3}{4}=\frac{3}{4}:\left(\frac{1}{2}-\frac{1}{6}\right)=\frac{3}{4}:\frac{1}{3}=\frac{9}{4}\)

19 tháng 7 2016

\(\frac{2}{3}.\frac{4}{5}+\frac{1}{3}.\frac{4}{5}=\left(\frac{2}{3}+\frac{1}{3}\right).\frac{4}{5}=1.\frac{4}{5}=\frac{4}{5}\)

\(\frac{1}{2}:\frac{3}{4}+\frac{1}{6}:\frac{3}{4}=\frac{1}{2}.\frac{4}{3}+\frac{1}{6}.\frac{4}{3}=\left(\frac{1}{2}+\frac{1}{6}\right).\frac{4}{3}=\frac{2}{3}.\frac{4}{3}=\frac{8}{9}\)

c,d tương tự 

14 tháng 9 2017

haizzz bn cứ làm như thường là đc ròi, cần j phải hỏi

14 tháng 9 2017

Tại cô giáo chưa dậy đến đã giao bài về nhà nên mình mới không biết làm !!!

4 tháng 6 2017

\(3\frac{3}{4}\times4=\frac{3\times4+3}{4}\times4=\frac{15}{4}\times4=\frac{15\times4}{4}=15\)

\(4\frac{3}{2}\div1\frac{1}{2}=\frac{4\times2+3}{2}\div\frac{1\times2+1}{2}=\frac{11}{2}\div\frac{3}{2}=\frac{11}{2}\times\frac{2}{3}=\frac{11}{3}\)

\(4\frac{3}{4}+2\frac{3}{2}=\frac{4\times4+3}{4}+\frac{2\times2+3}{2}=\frac{19}{4}+\frac{7}{2}=\frac{19}{4}+\frac{14}{4}=\frac{33}{4}\)

\(3\frac{8}{6}-4\frac{1}{3}=\frac{3\times8+6}{6}-\frac{4\times3+1}{3}=\frac{30}{6}-\frac{13}{3}=\frac{30}{6}-\frac{26}{6}=\frac{4}{6}=\frac{2}{3}\)

4 tháng 6 2017

\(3\frac{2}{4}\)x 4 = \(\frac{14}{4}\)x 4 = \(\frac{56}{4}\)

\(4\frac{3}{2}\)\(1\frac{1}{2}\)\(\frac{11}{2}\)\(\frac{3}{2}\)\(\frac{11}{2}\)\(\frac{2}{3}\)\(\frac{22}{6}\)\(\frac{11}{3}\)

\(4\frac{3}{4}\)\(2\frac{3}{2}\)\(\frac{11}{4}\)\(\frac{7}{2}\)\(\frac{25}{4}\)= 6,25

\(3\frac{8}{6}\)\(4\frac{1}{3}\)\(\frac{13}{3}\)\(\frac{13}{3}\)= 0

16 tháng 7 2017

a, 3/4 + 1/4.x=2

    1/4.x        = 2-3/4

     1/4.x      =5/4

     x           = 5/4:1/4

     x           = 5

     

16 tháng 7 2017

b, x-2/3.9/4=2,5-1/2

    x-2/3.9/4=2

    x-2/3     =2:9/4

    x-2/3   =8/9

     x        = 8/9+2/3

     x         = 14/9

    

18 tháng 8 2023

 \(\dfrac{3}{4}\times\dfrac{8}{5}:1\dfrac{1}{6}\) 

=\(\dfrac{6}{5}:\) \(\dfrac{7}{6}\) 

=\(\dfrac{6}{5}\times\dfrac{6}{7}=\dfrac{36}{35}\)

 

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

\(\dfrac{7}{3}\times\dfrac{5}{4}-\) \(\dfrac{7}{5}\) 

\(\dfrac{35}{12}-\dfrac{7}{5}\)

\(\dfrac{175}{60}-\dfrac{84}{60}=\dfrac{91}{60}\)

 

18 tháng 8 2023

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

(4 +2) + \(\left(\dfrac{2}{3}+\dfrac{1}{3}\right)\) +1\(\dfrac{1}{4}\) + \(2\dfrac{3}{7}\) 

6 + 1 + \(\dfrac{5}{4}\) + \(\dfrac{17}{7}\)

7 + \(\dfrac{103}{28}\)

\(\dfrac{299}{28}\)

26 tháng 9 2017

\(a,8\frac{3}{4}+4\frac{1}{5}-3\frac{3}{4}\)

\(=\frac{35}{4}+\frac{21}{5}-\frac{15}{4}\)

\(=\frac{175+84-75}{20}\)

\(=\frac{184}{20}=\frac{46}{5}\)

\(b,3\frac{1}{2}\div\frac{1}{2}+3\frac{1}{2}\div\frac{1}{4}\)

\(=\frac{7}{2}\div\frac{1}{2}+\frac{7}{2}\div\frac{1}{4}\)

\(=\frac{7}{2}\div\left(\frac{1}{2}+\frac{1}{4}\right)\)

\(=\frac{7}{2}\div\frac{3}{4}\)

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

\(=\frac{14}{3}\)