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a) 3/5x7/9+11/9x3/5
=3/5 x(7/9+11/9)
= 3/5x2
=6/5
b)14/13:1/2+3/13x2-2x7/13
= 14/13 x 2 +3/13 x2 - 2x7/13
=2 x (14/13 +3/13 -7/13)
= 2 x 10/13
= 20/13
a) 3/5 x 7/9 + 11/9 x 3/5 - 3/10
= 3/5 x 7/9 + 11/9 x 3/5 - 3/5 x 2
= 3/5 x ( 7/9 + 11/9 - 2 )
= 3/5 x 0
= 0
b) 14/13 : 1/2 + 3/13 x 2 - 2 x 7/13
= 14/13 x 2/1 + 3/13 x 2 - 2 x 7/13
= ( 14/13 + 3/13 - 7/13 ) x 2
= 10/13 x 2 = 20/13
a) = \(\frac{1+2+3+..+11}{3}=\frac{\left(1+11\right)+\left(2+9\right)+..+\left(5+7\right)+6}{3}=\frac{12.5+6}{3}=\frac{66}{3}=22\)
b) A = \(9+\frac{9}{2}+\frac{9}{4}+\frac{9}{8}+...+\frac{9}{128}+\frac{9}{256}\)
2 x A = 18 + 9 + \(\frac{9}{2}+\frac{9}{4}+\frac{9}{8}+...+\frac{9}{128}\)
Lấy 2 x A - A = 18 - \(\frac{9}{256}\)
A = 4599/256
\(\frac{5}{9}:\frac{4}{7}+\frac{13}{9}\cdot\frac{7}{4}\)
\(=\frac{5}{9}\cdot\frac{7}{4}+\frac{13}{9}\cdot\frac{7}{4}\)
\(=\left(\frac{5}{9}+\frac{13}{9}\right)\cdot\frac{7}{4}\)
\(=2\cdot\frac{7}{4}\)
\(=\frac{14}{4}\)
=\(\frac{5}{9}\)*\(\frac{7}{4}\)+\(\frac{13}{9}\)*\(\frac{7}{4}\)
=\(\frac{7}{4}\)*(\(\frac{5}{9}+\frac{13}{9}\))
=\(\frac{7}{4}\)*2
=\(\frac{7}{2}\)
\(\frac{2}{9}+\frac{1}{5}+\frac{7}{9}+\frac{4}{5}=\left(\frac{2}{9}+\frac{7}{9}\right)+\left(\frac{1}{5}+\frac{4}{5}\right)=\frac{9}{9}+\frac{5}{5}=1+1=2\)
\(\frac{2}{9}+\frac{1}{5}+\frac{7}{9}+\frac{4}{5}=\left(\frac{2}{9}+\frac{7}{9}\right)+\left(\frac{1}{5}+\frac{4}{5}\right)=1+1=2\)
a) 1,4 : 3 + 5,8 :3 = (1,4+5,8) :3
=6,2 :3
= 18,6
b) ( 1,25 x 3,6 ) : ( 9 x 5) = 4,5 : 45
= 0,1
= 45 x 10 x 0,45 + 1,5 x 30 x 3 + 45 x 2,5
= 45 x ( 4,5 + 2,5 ) + 1,5 x 30 x 3
= 4,5 x 10 x 7 + 4,5 x 30
= 4,5 x ( 70 + 30 )
= 4,5 x 100 = 450