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\(S=\frac{3}{5.7}+\frac{3}{7.9}+.....+\frac{3}{59.61}\)
\(=\frac{3}{2}.\left(\frac{2}{5.7}+\frac{2}{7.9}+......+\frac{2}{59.61}\right)\)
=\(\frac{3}{2}.\left(\frac{7-5}{5.7}+\frac{9-7}{7.9}+......+\frac{61-59}{59.61}\right)\)
=\(\frac{3}{2}.\left(\frac{7}{5.7}-\frac{5}{5.7}+\frac{9}{7.9}-\frac{7}{7.9}+.....+\frac{61}{59.61}-\frac{59}{59.61}\right)\)
=\(\frac{3}{2}.\left(\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+.....+\frac{1}{59}-\frac{1}{61}\right)\)
=\(\frac{3}{2}.\left(\frac{1}{5}-\frac{1}{61}\right)\)
=\(\frac{3}{2}.\frac{56}{305}\)
=\(\frac{84}{305}\)
a)\(\frac{21}{24};\frac{28}{24};\frac{72}{24}\)
b)\(\frac{6}{12};\frac{8}{12};\frac{9}{12};\frac{60}{12}\)
#H
a, \(\frac{3}{4}.\frac{8}{5}.\frac{5}{9}=\frac{2}{3}\)
b, \(\frac{6}{7}:\frac{3}{14}:\frac{1}{2}=8\)
Hung Vu
A = 1/11 + 1/12+ 1/13 + ...+ 1/30
=> A > 1/30 + 1/30 + 1/30 +...+1/30
A > 1/30 x 20
A > 2/3
Vậy A> 2/3
b) A = 1/11 + 1/12 + 1/13 + ..+ 1/30
A< 1/11 + 1/11 + 1/11+...+1/11
A < 1/11 x 20
A < 20/11
Mà 2 > 20/11
Nên suy ra A < 2
^^ Học tốt !
`x` x `2/3 = 1/2`
`=> x = 1/2 : 2/3`
`=> x = 1/2` x `3/2 `
`=> x = 3/4`
Vậy `x = 3/4`
GIẢI
.... x \(\dfrac{2}{3}\)=\(\dfrac{1}{2}\)
....= \(\dfrac{1}{2}\) : \(\dfrac{2}{3}\)
....=\(\dfrac{1}{2}\) x \(\dfrac{3}{2}\)
....=\(\dfrac{3}{4}\)