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\(#N\)

\(-\dfrac{11}{7}+\dfrac{13}{-2}+-\dfrac{6}{17}=-\dfrac{113}{14}+-\dfrac{6}{17}=-\dfrac{2005}{238}\)

\(\dfrac{13}{-8}+-\dfrac{7}{20}+\dfrac{3}{-8}=\left(-\dfrac{13}{8}+-\dfrac{3}{8}\right)+-\dfrac{7}{20}=-2+-\dfrac{7}{20}=-\dfrac{47}{20}\)

\(-\dfrac{4}{7}+\dfrac{11}{5}+\dfrac{1}{5}+-\dfrac{7}{3}=-\dfrac{4}{7}+\left(\dfrac{11}{5}+\dfrac{1}{5}\right)+-\dfrac{7}{3}=-\dfrac{4}{7}+\dfrac{12}{5}+-\dfrac{7}{3}=-\dfrac{53}{105}\)

a) 7/3 + 2/5 . 5/6 = 7/3 + 1/3 = 8/3

b) 2/3 - 7/3 : 2 4/5 = 2/3 - 7/3 : 14/5 = 2/3 - 7/3 . 5/14 = 2/3 - 5/6 = 4/6 - 5/6 = -1/6

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^{1/2 + 2/3 - 3/4 * 4/5 * 5/6 * 6/7 * 7/8 * 8/9 *...* 29/30 : 6/10}

^{= 1/2 + 2/3 - 1/10 : 6/10}

^{= 1/2 + 2/3 - 1/6}

^{= 1}

\(\left(3-\frac{1}{4}+\frac{2}{3}\right)-\left(5-\frac{1}{3}-\frac{6}{5}\right)-\left(6-\frac{7}{4}+\frac{3}{2}\right)\)

\(=3-\frac{1}{4}+\frac{2}{3}-5+\frac{1}{3}+\frac{6}{5}-6+\frac{7}{4}-\frac{3}{2}\)

\(=\left(3-5-6\right)+\left(\frac{-1}{4}+\frac{7}{4}\right)+\left(\frac{2}{3}+\frac{1}{3}\right)+\left(\frac{6}{5}-\frac{3}{2}\right)\)

\(=\left(-8\right)+2+1+\frac{-3}{10}\)

\(=\left(-5\right)+\frac{-3}{10}=\frac{-53}{10}=-5,3\)

(3-1/4+2/3)-(5-1/3-6/5)-(6-7/4+3/2)

=3-1/4+2/3-5-1/3-6/5-6-7/4+3/2

=(3-5-6)+(-1/4-7/4)+(2/3-1/3)+(6/5/3/2

=(-8)+2+1+(-3/10)

=(-5)+(-3/10)=-53/10=-5,3

-5,8 chứ???

a: =(-20/23-3/23)+(2/3+2/5+7/15)

=-1+10/15+6/15+7/15

=23/15-1=8/15

b: \(=\dfrac{7}{5}\cdot\dfrac{29}{4}-\dfrac{7}{5}\cdot\dfrac{9}{4}+\dfrac{41}{13}=\dfrac{7}{5}\cdot5+\dfrac{41}{13}=7+\dfrac{41}{13}=\dfrac{132}{13}\)

c: =3,07+7,005-23,005+5,23

=8,3-16

=-7,7