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\(\frac{3}{2\times3}\)+\(\frac{3}{3x4}\)+\(\frac{3}{4x5}\)+ ... +\(\frac{3}{96x97}\)
= \(\frac{3}{2}\)-\(\frac{3}{3}\)+ \(\frac{3}{3}\)- \(\frac{3}{4}\)+\(\frac{3}{4}\)-\(\frac{3}{5}\)+ ... + \(\frac{3}{96}\)- \(\frac{3}{97}\)
ở giữa cứ trù \(\frac{3}{3}\) rồi lại cộng \(\frac{3}{3}\)thì hết nên cụm ở giữa là hết
chỉ còn \(\frac{3}{2}\)-\(\frac{3}{97}\)= \(\frac{285}{194}\)
vậy đáp án câu này là \(\frac{285}{194}\)
/HT\
\(419:\left(8\times8\times4,18+0,17\times2,5+2,09\times2\times36+0,23\times2,5\right)\)
\(=419:\left(64\times4,18+0,17\times2,5+4,18\times36+0,23\times2,5\right)\)
\(=419:\left[\left(64+36\right)\times4,18+\left(0,17+0,23\right)\times2,5\right]\)
\(=419:\left[100\times4,18+0,4\times2,5\right]\)
\(=419:\left[418+1\right]\)
\(=419:419\)
\(=1\)
\(=\dfrac{419}{64\cdot4.18+0,17\cdot2,5+2,09\cdot72+0,23\cdot2,5}\)
\(=\dfrac{419}{0,4\cdot2,5+64\cdot4,18+2,09\cdot72}\)
\(=\dfrac{419}{1+418}=1\)
\(\left(x+\dfrac{1}{2\times3}\right)+\left(x+\dfrac{1}{3\times4}\right)+\left(x+\dfrac{1}{4\times5}\right)+\left(x+\dfrac{1}{5\times6}\right)=\dfrac{25}{3}\)
\(x+\dfrac{1}{2\times3}+x+\dfrac{1}{3\times4}+x+\dfrac{1}{4\times5}+x+\dfrac{1}{5\times6}=\dfrac{25}{3}\)
\(x\times4+\left(\dfrac{1}{2\times3}+\dfrac{1}{3\times4}+\dfrac{1}{4\times5}+\dfrac{1}{5\times6}\right)=\dfrac{25}{3}\)
\(x\times4+\left(\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{6}\right)=\dfrac{25}{3}\)
\(x\times4+\left(\dfrac{1}{2}-\dfrac{1}{6}\right)=\dfrac{25}{3}\)
\(x\times4+\dfrac{4}{12}=\dfrac{25}{3}\)
\(x\times4=\dfrac{25}{3}-\dfrac{4}{12}\)
\(x\times4=\dfrac{25}{3}-\dfrac{1}{3}\)
\(x\times4=\dfrac{24}{3}\)
\(x\times4=8\)
\(x=8\div4\)
\(x=2\)
:))
a) Ta có: \(\left(1-\frac{1}{3}\right).\left(1-\frac{1}{4}\right).\left(1-\frac{1}{5}\right)=\frac{2}{3}.\frac{3}{4}.\frac{4}{5}=\frac{2.3.4}{3.4.5}=\frac{2}{5}.\)
b) Ta có: \(\left(1+\frac{1}{3}\right).\left(1+\frac{1}{4}\right).\left(1+\frac{1}{5}\right)=\frac{4}{3}.\frac{5}{4}.\frac{6}{5}=\frac{4.5.6}{3.4.5}=\frac{6}{3}=2\)
CHÚC BẠN HỌC TỐT
\(=21,37\cdot\left(27,5+72,4+0,1\right)=21,37\cdot100=2137\)
\(=21,37\cdot27.5+72.4+21.37+21.37\cdot0.1\)
\(=21.37\left(27.5+72.4+0.1\right)=21.37\cdot100=2137\)
999 x 4,26 - 333 x 2,78
= 333 x 2 x 4,26 - 333 x 2,78
= 333 x ( 2 x 4,26 - 2,78 )
= 333 x 5,74
= 1911,42
999x4,26-333x2,78
=333x3x4,26-333x2,78
=333x12,78-333x2,78
=333x(12,78-2,78)
=333x10
=3330
Trả lời :
\(\frac{1}{2\times3}+\frac{1}{3\times4}+\frac{1}{4\times5}=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}=\frac{1}{2}-\frac{1}{5}=\frac{3}{10}\)
~Std well~
#Dương