27/182-1/182-1/7

26/182-1/7

1/7-1/7

0

           p=1/(3*5)+1/(5*7)+.....+1/(2015*2017)+1/(2017*2019)

<=> p = 1/3-1/5+1/5-1/7+1/7-......+1/2017-1/2019

<=> p = 1/3 - 1/2019

<=> p = 224/673

\(P=\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+...+\frac{1}{2015.2017}+\frac{1}{2017.2019}\)

\(=\frac{1}{2}\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{2017}-\frac{1}{2019}\right)\)

\(=\frac{1}{2}\left(\frac{1}{3}-\frac{1}{2019}\right)\)

\(=\frac{112}{673}\)

\(\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+...+\frac{1}{2015.2017}+\frac{1}{2017.2019}\)

\(=\frac{1}{2}.\left(\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+....+\frac{2}{2015.2017}+\frac{2}{2017.2019}\right)\)

\(=\frac{1}{2}.\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+....+\frac{1}{2015}-\frac{1}{2017}+\frac{1}{2017}-\frac{1}{2019}\right)\)

\(=\frac{1}{2}.\left(\frac{1}{3}-\frac{1}{2019}\right)=\frac{1}{2}.\frac{224}{673}=\frac{112}{673}\)

5/14x7/13x26/25
Bạn để ý rút gọn 14 cho 7 như sau
5/2x1/13x26/25
=5/26x26/25
Rút gọn 26 với 26,ta đc 5/25=1/5

\(\frac{5}{14}\times\frac{7}{13}\times\frac{26}{25}\)\(=\frac{5\times7\times13\times2}{7\times2\times13\times5\times5}\)\(=\frac{1}{5}\)

ta có phép tính:\(\frac{5}{14}\)x\(\frac{7}{13}\)x\(\frac{26}{25}\)=\(\frac{5x7x26}{14x13x25}\)=\(\frac{910}{4550}\)=\(\frac{91}{455}\)

=442+13

=455

k nha

26 . 17 + 13

=(26 . 17)+13

=442+13

=455

26 . 17 + 13

= 13 . 2 . 17 + 13 . 1

=  13 . 34 + 13 . 1

= 13 . ( 34 + 1 )

= 13 . 35

= 455

a,\(\frac{31}{17}+\frac{5}{13}+\frac{8}{13}-\frac{14}{17}=\left(\frac{31}{17}-\frac{14}{17}\right)+\left(\frac{5}{13}+\frac{8}{13}\right)=1+1=2\)                                                              b,\(\frac{5}{7}.\frac{22}{11}+\frac{5}{7}.\frac{9}{11}+\frac{5}{7}=\frac{5}{7}.\left(\frac{22}{11}+\frac{9}{11}+1\right)=\frac{5}{7}.4=\frac{20}{7}\)

thank

a) \(\frac{31}{17}+\frac{5}{13}+\frac{8}{13}-\frac{14}{17}\)

    \(=\left(\frac{31}{17}-\frac{14}{17}\right)+\left(\frac{5}{13}+\frac{8}{13}\right)\)

     \(=1+1\)

      \(=2\)

b) \(\frac{5}{7}\cdot\frac{22}{11}+\frac{5}{7}\cdot\frac{9}{11}+\frac{5}{7}\)

    \(=\frac{5}{7}\cdot\left(\frac{22}{11}+\frac{9}{11}+1\right)\)

      \(=\frac{5}{7}\cdot\frac{42}{11}\)

        \(=\frac{30}{11}\)

Đề bài là gì bạn ơi ??

de bai la tinh

\(C=\frac{3}{7}\times\frac{4}{13}+\frac{3}{7}\times\frac{9}{13}+5\frac{4}{7}\)

\(C=\frac{3}{7}\times\frac{4}{13}+\frac{3}{7}\times\frac{9}{13}+\frac{39}{7}\)

\(C=\frac{3}{7}\times\left(\frac{4}{13}+\frac{9}{13}\right)+\frac{39}{7}\)

\(C=\frac{3}{7}\times1+\frac{39}{7}\)

\(C=\frac{3}{7}+\frac{39}{7}\)

\(C=\frac{42}{7}\)

\(C=6\)

_Chúc bạn học tốt_

một thửa ruộng hình vuông có chu vi là 100 mét.Người ta cấy lúa trung bình là 1 mét vuông thu hoạch được 12/25 kg.hỏi trên thửa ruộng đó người ta thu hoạch được bao nhiêu tạ thóc

a, 7/15 +4/5 =7/15+12/15 = 19/15

b,2/3-3/8=16/24-9/24=7/24

C,4/7x21/16:5/8=4/7x21/16x8/5=6/5

D,13x42x11/33x26x35=1/5