A= \(11\frac{3}{13}-\left(2\frac{4}{7}+5\frac{3}{13}\right)\)

  = \(11\frac{3}{13}-2\frac{4}{7}-5\frac{3}{13}\)

 = \(\left(11\frac{3}{13}-5\frac{3}{13}\right)-2\frac{4}{7}\)

= \(6-2\frac{4}{7}\)

= \(3\frac{3}{7}\)

B= \(\left(96\frac{4}{9}+3\frac{7}{11}\right)-4\frac{4}{9}\)

  = \(96\frac{4}{9}+3\frac{7}{11}-4\frac{4}{9}\)

 =  \(\left(96\frac{4}{9}-4\frac{4}{9}\right)+3\frac{7}{11}\)

 = \(92+3\frac{7}{11}\)

 = \(95\frac{7}{11}\)

C= \(\frac{-5}{7}.\frac{2}{11}+\frac{-5}{7}.\frac{9}{11}+1\frac{5}{7}\)

  = \(\frac{-5}{7}.\left(\frac{2}{11}+\frac{9}{11}\right)+1\frac{5}{7}\)

  = \(\frac{-5}{7}.1+1\frac{5}{7}\)

  = \(\frac{-5}{7}+1\frac{5}{7}\)

  = 1

(ý D bn tự làm ha)

mình  vieetts ra thì dài lám 

nếu bạn đã chác chăn về kiến thức thì hãy phân tích rồi tìm cách lam

còn ngược lại ban hãy tính máy tính rồi đoán cách làm cũng được

x-1/2=1/4

1) 9 x 10 + 10 x 11 + 11 x 12 + ....+ 2015 x 2016

=9x10x11-8x9x10+10x11x12-9x10x11+...+2015x2016x2017-2014x2015x2013

=2015x2016x2017-8x9x10

=8193537360

=43/306:599/105x1473/1820

=1505/61098x1473/1820

=0.01993613035

\(=\dfrac{3}{9}\cdot\dfrac{9}{11}\cdot\dfrac{22}{25}\cdot\dfrac{5}{7}\cdot\dfrac{7}{10}=\dfrac{3}{11}\cdot\dfrac{22}{25}\cdot\dfrac{5}{10}=3\cdot2\cdot\dfrac{1}{2}\cdot\dfrac{1}{5}=\dfrac{3}{5}\)

\(=\dfrac{3x4x9x11x2x5x7}{4x9x11x5x5x10}=\dfrac{3x2x7}{10}=\dfrac{42}{10}=\dfrac{21}{5}\)

=3/9⋅9/11⋅22/25⋅5/7⋅7/10=3/11⋅22/25⋅5/10=3⋅2⋅1/2⋅1/5=3/5

4x 11 x 3/4 x 9/121 = ( 4x 3/4) x (11 x 9/121) = 3 x 9/11 = 27/11

a) 2/5 x 1/4 + 3/4 x 2/5
 = 2/5 x (1/4 + 3/4)
 = 2/5 x        1
 =      2/5
b) 6/11 : 2/3 + 5/11 : 2/3
 = (6/11 + 5/11) : 2/3
 =         1           : 2/3
 =               3/2

2: \(=\dfrac{-2}{75}+\dfrac{5}{39}=\dfrac{33}{325}\)

3: \(=\dfrac{6}{11}\left(\dfrac{4}{9}+\dfrac{5}{9}\right)=\dfrac{6}{11}\)

4: \(=\dfrac{7}{19}\left(\dfrac{5}{13}+\dfrac{8}{13}-1\right)=-2\cdot\dfrac{7}{19}=-\dfrac{14}{19}\)

5: \(=\dfrac{2}{7}\left(\dfrac{4}{23}-\dfrac{27}{23}+1\right)=0\)

6: \(=\dfrac{3}{8}\left(\dfrac{3}{7}+\dfrac{4}{7}\right)+\dfrac{11}{8}=\dfrac{3}{8}+\dfrac{11}{8}=\dfrac{14}{8}=\dfrac{7}{4}\)

a: \(\dfrac{-11}{18}+\dfrac{12}{29}+\dfrac{-7}{18}+\dfrac{2020}{2021}+\dfrac{17}{29}\)

=(-11/18-7/18)+(12/29+17/29)+2020/2021

=2020/2021

b: \(\dfrac{-2}{3}\cdot\dfrac{4}{9}+\dfrac{5}{9}\cdot\dfrac{-2}{3}+\dfrac{4}{3}\)

=-2/3+4/3=2/3