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x/2-x/6-17/3=12-5
3x/6-x/6-17/3=7
2x/6-17/3=7
2x/6=7+17/3
2x/6=38/3
x/3=38/3
=>x=38
vậy x=38
2x là 2 nhân x nhe
k mk nha
Ta có: \(\frac{6}{15.18}+\frac{6}{18.21}+\frac{6}{21.24}+...+\frac{6}{87.90}\)
\(=2\left(\frac{3}{15.18}+\frac{3}{18.21}+\frac{3}{21.24}+...+\frac{3}{87.90}\right)\)
\(=2\left(\frac{1}{15}-\frac{1}{18}+\frac{1}{18}-\frac{1}{21}+\frac{1}{21}-\frac{1}{24}+...+\frac{1}{87}-\frac{1}{90}\right)\)
\(=2\left(\frac{1}{15}-\frac{1}{90}\right)\)
\(=2\cdot\frac{1}{18}=\frac{1}{9}\)
\(\frac{6}{15.18}+\frac{6}{18.21}+\frac{6}{21.24}+.......+\frac{6}{87.90}\)
\(=2.\left(\frac{1}{15}-\frac{1}{18}+\frac{1}{18}-\frac{1}{21}+\frac{1}{21}-\frac{1}{24}+.......+\frac{1}{87}-\frac{1}{90}\right)\)
\(=2.\left(\frac{1}{15}-\frac{1}{90}\right)\)
\(=2.\frac{1}{18}\)
\(=\frac{1}{9}\)
\(A=\frac{3}{4\cdot7}+\frac{4}{7\cdot11}+\frac{4}{11\cdot15}+...+\frac{4}{100\cdot104}\)
\(A=\frac{7-4}{4\cdot7}+\frac{11-7}{7\cdot11}+\frac{15-11}{11\cdot15}+...+\frac{104-100}{100\cdot104}\)
\(A=\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{11}+\frac{1}{11}-\frac{1}{15}+...+\frac{1}{100}-\frac{1}{104}\)
\(A=\frac{1}{4}-\frac{1}{104}\)
\(A=\frac{25}{104}\)
\(B=\frac{1}{25\cdot27}+\frac{1}{27\cdot29}+\frac{1}{29\cdot31}+...+\frac{1}{73\cdot75}\)
\(B\cdot2=\left(\frac{1}{25\cdot27}+\frac{1}{27\cdot29}+\frac{1}{29\cdot31}+...+\frac{1}{73\cdot75}\right)\cdot2\)
\(B\cdot2=\frac{2}{25\cdot27}+\frac{2}{27\cdot29}+\frac{2}{29\cdot31}+...+\frac{2}{73\cdot75}\)
\(B\cdot2=\frac{27-25}{25\cdot27}+\frac{29-27}{27\cdot29}+\frac{31-29}{29\cdot31}+...+\frac{75-73}{73\cdot75}\)
\(B\cdot2=\frac{1}{25}-\frac{1}{27}+\frac{1}{27}-\frac{1}{29}+\frac{1}{29}-\frac{1}{31}+...+\frac{1}{73}-\frac{1}{75}\)
\(B\cdot2=\frac{1}{25}-\frac{1}{75}\)
\(B\cdot2=\frac{2}{75}\)
\(B=\frac{2}{75}\frac{\cdot}{\cdot}2\)
\(B=\frac{1}{75}\)
a)3/8x6/5+15/8:8
=9/20+15/64
=219/320
b)7/99:3,4x0,25
=35/1683x0,25
=35/6732
c)15,3-21,93:3,4
=15,3-129/20
=177/20
Hiệu là : 26 - 6 = 20 ( tuổi )
Chị khi đó là : 20 : ( 3 - 1 ) x 3 = 30 ( tuổi )
Sau số năm là : 30 - 26 = 4 ( năm )
Đ/s : ...
4 năm nữa nha bạn!Vả lại chị mãi hơn em:26-6=20(tuổi)
chúc bạn học tốt
\(A=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+....+\frac{1}{99.100}\)
\(=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+....+\frac{1}{99.100}\)
\(=\frac{2-1}{1.2}+\frac{3-2}{2.3}+\frac{4-3}{3.4}+...+\frac{100-99}{99.100}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{99}-\frac{1}{100}\)
\(=1-\frac{1}{100}=\frac{99}{100}\)
C = 6 / 15.18 + 6 / 18.21 + .......... + 6 / 87.90
3c= 3/15.18 + 3/18.21+...........+3/87.90
=1/15 - 1/18 + 1/18 -1/21 +.............+1/87-1/90
=1/15-1/90
=75/1350
C=75/1350 X 2
C=75/675 NHỚ TK CHO MÌNH NHA BẠN !
C=6 x \(\frac{1}{3}\left(\frac{1}{15}-\frac{1}{18}+\frac{1}{18}-\frac{1}{21}+.....+\frac{1}{87}-\frac{1}{90}\right)\)
C= 6 x \(\frac{1}{3}\left(\frac{1}{15}-\frac{1}{90}\right)\)
C= 6 x \(\frac{1}{3}x\frac{1}{18}\)
C =1/9