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a) 1/7 . 5/6 + 1/7 . 1/6 + -8/7
= 1/7 . ( 5/6 + 1/6 ) + -8/7
= 1/7 . 1 + -8/7
= 1/7 + -8/7 = -1
b) 3/5 . -4/9 . 5/3 . 18/7
= ( 3/5 . 5/3 ) . ( -4/9 . 18/7 )
= 1 . -8/7 = -8/7
c) 1/2 + -3/4 . 16/9
= 1/2 + -4/3 = -5/6
d) ( 1/7 + 5/14 ) . -28/3
= 1/2 . -28/3 = -14/3
\(\frac{5}{7}\times\frac{8}{9}+\frac{-1}{7}\times\frac{5}{9}+3\frac{4}{9}\\ =\frac{5}{9}\times\frac{8}{7}+\frac{-1}{7}\times\frac{5}{9}+3\frac{4}{9}\\ =\left(\frac{8}{7}+\frac{-1}{7}\right)\times\frac{5}{9}+3\frac{4}{9}=1\times\frac{5}{9}+3\frac{4}{9}\\ =\frac{5}{9}+3\frac{4}{9}=4\)
a ) 13/20
B)
C..........................................................
minh dang tính
a) \(D=\frac{1}{7}+\frac{1}{7^2}+\frac{1}{7^3}+...+\frac{1}{7^{100}}\)
\(\Rightarrow7D=1+\frac{1}{7}+\frac{1}{7^2}+...+\frac{1}{7^{99}}\)
\(\Rightarrow7D-D=\left(1+\frac{1}{7}+\frac{1}{7^2}+...+\frac{1}{7^{99}}\right)-\left(\frac{1}{7}+\frac{1}{7^2}+\frac{1}{7^3}+...+\frac{1}{7^{100}}\right)\)
\(\Rightarrow6D=1-\frac{1}{7^{100}}\)
\(\Rightarrow D=\left(1-\frac{1}{7^{100}}\right).\frac{1}{6}\)
\(a,x:\left(-\frac{15}{28}\right)=\frac{21}{35}\)
\(x=\frac{21}{35}\times\left(-\frac{15}{28}\right)\)
\(x=-\frac{9}{28}\)
\(b,x-\frac{1}{42}=-\frac{6}{7}\times\frac{5}{7}\)
\(x-\frac{1}{42}=-\frac{30}{49}\)
\(x=-\frac{30}{49}+\frac{1}{42}\)
\(x=-\frac{173}{294}\)
\(c,\left(x-\frac{3}{4}\right):\frac{7}{5}=-\frac{1}{4}\)
\(x-\frac{3}{4}=-\frac{1}{4}\times\frac{7}{5}\)
\(x-\frac{3}{4}=-\frac{7}{20}\)
\(x=-\frac{7}{20}+\frac{3}{4}\)
\(x=\frac{2}{5}\)
a)x:-15/28=21/35
x=21/35.-15/28
x=-9/28
b)x-1/42= -6/7.5/7
x-1/42= -6/7.5/7
x-1/42=-30/49
x=-30/49+1/42
x=-173/294
c)(x-3/4):7/5=-1/4
x-3/4=-1/4.7/5
x-3/4=-7/20
x=-7/20+3/4
x=2/5
có gì sai xin tha thứ giùm nha!
hi hi!!!
A = \(\dfrac{5}{9}\cdot\left(\dfrac{1}{7}+\dfrac{1}{7}+\dfrac{3}{7}\right)\)
=\(\dfrac{5}{9}\cdot\dfrac{5}{7}=\dfrac{25}{63}\)
=(1/7+1/7+3/7).5/9
=5/7.5/9
=25/63