7+5x6+7=
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\(\dfrac{7}{2\times3}+\dfrac{7}{3\times4}+\dfrac{7}{4\times5}+\dfrac{7}{5\times6}\)
= 7 x ( \(\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{6}\) )
= 7 x \(\left(\dfrac{1}{2}-\dfrac{1}{6}\right)\)
= 7 x \(\dfrac{1}{3}=\dfrac{7}{3}\)
`4/7xx3/7+4/5xx6/7-4/5xx7/14`
`=4/7xx3/7+4/5xx(6/7-7/14)`
`=4/7xx3/7+4/5xx5/14`
`=12/49+2/7`
`=26/49`
=4/7x3/7+4/5x(6/7-7/14)
=4/7x3/7+4/5x5/14
=12/49+2/7
=26/49
Ta có: \(\frac{5-4}{2\times3}+\frac{6-5}{3\times4}+\frac{8-7}{4\times5}+\frac{9-8}{5\times6}\)
\(=\frac{1}{2\times3}+\frac{1}{3\times4}+\frac{1}{4\times5}+\frac{1}{5\times6}\)
\(=\frac12-\frac13+\frac13-\frac14+\frac14-\frac15+\frac15-\frac16=\frac12-\frac16=\frac13\)
1/5x6 + 7/6 - 6/5 = 1/30 + 7/6 - 6/5
= 1/30 + 35/30 - 36/30
= 36/30 - 36/30
=0/30 = 0
7 + 5 x 6 +7
= 7 + 30 +7
= 37 + 7
= 44
= 7+30+7
=37+7
44