Tính: \(\frac{5}{6}+\frac{5}{18}+\frac{5}{36}+...+\frac{5}{3366}\)
Những câu hỏi liên quan
Tính nhanh
1, \(10\frac{5}{4}-4\frac{9}{14}-6\frac{5}{7}+\frac{7}{3}\)
2, \(\frac{29}{32}\left(\frac{41}{36}-\frac{32}{58}\right)-\frac{41}{36}\left(\frac{29}{32}+\frac{18}{41}\right)\)
\(\frac{4}{5}+\frac{3}{15}+\frac{32}{64}+\frac{12}{24}+\frac{3}{6}+\frac{2}{12}+\frac{18}{36}=...\)
Tính nhanh : ...
Toán cực dễ 5 người nhanh và đúng nhất me tik !
= 4/5 + 1/5 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2
= (4/5 + 1/5) + (1/2 + 1/2) + (1/2 + 1/2) + 1/2
= 1 + 1 + 1 + 1/2
= 3 + 1/2
= 6/2 + 1/2 (Hoặc ra luôn là hỗn số 3 và 1/2)
= 7/2
TL
hình như là 1
Ht
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Bt1) Tính
a) \(\frac{2}{15}+\frac{5}{-12}-\frac{5}{18}\)
b)\(-3-\frac{-2}{9}-\frac{5}{-27}\)
c)\(\frac{7}{36}-\frac{5}{24}+\frac{3}{-18}\)
d)\(\frac{5}{4}-\frac{5}{8}+\frac{-2}{3}\)
1/tính nhanh
a/\(A=\frac{7}{8}:\left(\frac{2}{9}-\frac{1}{18}\right)+\frac{7}{8}:\left(\frac{1}{36}-\frac{5}{12}\right)\)
b/\(B=\frac{1+0,6-\frac{3}{7}}{\frac{8}{3}+\frac{8}{5}-\frac{8}{7}}-\frac{\frac{1}{3}+0,25-\frac{1}{5}+0,125}{\frac{7}{6}+\frac{7}{8}-0,7+\frac{7}{16}}\)
A= 7/8:(4/18-1/18)+7/8:(1/36-15/36)
=7/8:1/6+7/8:(-7/18)
=7/8:(1/6+-7/18)=7/8:(3/18+-7/18)=7/8:(-2/9)=-63/18=-7/2
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Tính nhanh :
\(C=\frac{1}{3}+\frac{-3}{4}+\frac{3}{5}+\frac{1}{57}+\frac{-1}{36}+\frac{1}{15}+\frac{-2}{9}\)
\(D=\frac{1}{2}+\frac{-1}{5}+\frac{-5}{7}+\frac{1}{6}+\frac{-3}{35}+\frac{1}{3}+\frac{1}{41}\)
\(E=\frac{-1}{2}+\frac{3}{5}+\frac{-1}{9}+\frac{1}{127}+\frac{-7}{18}+\frac{4}{35}+\frac{2}{7}\)
C = 1/3 + -3/4 + 3/5 + 1/57 + -1/36 + 1/15 + -2/9
C = ( 1/3 + 1/57 ) + ( -3/4 + -1/36 ) + ( 3/5 + 1/15 ) + -2/9
C = ( 19/57 + 1/57 ) + ( -27/36 + -1/36 ) + ( 9/15 + 1/15 ) + -2/9
C = 20/57 + -28/36 + 10/15 + -2/9
C = 20/57 + -7/9 + 2/3 + -2/9
C = ( 20/57 + 2/3 ) + ( -7/9 + -2/9 )
C = 58/57 + -1
C = 1/57
D = 1/2 + -1/5 + -5/7 + 1/6 + -3/35 + 1/3 + 1/41
D = ( 1/2 + 1/3 + 1/6 ) + ( -1/5 + -5/7 +-3/35 ) + 1/41
D = ( 3/6 + 2/6 + 1/6 ) + ( -7/35 + -25/35 + -3/35 ) + 1/41
D = 1 + -1 + 1/41
D = 1/41
E = -1/2 + 3/5 + -1/9 + 1/127 + -7/18 + 4/35 + 2/7
E = ( -1/2 + -1/9 + -7/18 ) + ( 3/5 + 4/35 ) + 1/127 + 2/7
E = ( -9/18 + -2/18 + -7/18 ) + ( 21/35 + 4/35 ) + 1/127 + 2/7
E = -1 + 5/7 + 1/257 + 2/7
E = -1 + ( 5/7 + 2/7 ) + 1/127
E = -1 + 1 + 1/127
E = 1/127
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\(C=\frac{1}{3}+\frac{-3}{4}+\frac{3}{5}+\frac{1}{57}+\frac{-1}{36}+\frac{1}{15}+\frac{-2}{9}.\)
\(C=\left(\frac{1}{3}+\frac{3}{5}+\frac{1}{15}\right)-\left(\frac{3}{4}+\frac{1}{36}+\frac{2}{9}\right)+\frac{1}{57}\)
\(C=1-1+\frac{1}{57}\)
\(C=\frac{1}{57}\)
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D=1/2+-1/5+-5/7+1/6+-3/35+1/3+1/41
D=(1/2+1/6+1/3)-(1/5+3/35+5/7)+1/41
D=1-1+1/41
D=1/41
E=-1/2+3/5+-1/9+1/127+-7/18+4/35+2/7
E=(3/5+4/35+2/7)-(1/2+1/9+7/18)+1/127
E=1-1+1/127
E=1/127
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Thực hiện phép tính:a) frac{-3}{5}+frac{28}{5}left(frac{43}{56}+frac{5}{24}-frac{21}{63}right)b) frac{5}{7}.frac{11}{18}+frac{3}{7}.frac{5}{18}+frac{4}{9}c) frac{-3}{4}.5frac{3}{13}-0,75.frac{36}{13}d) 6frac{5}{12}:2frac{3}{4}-11frac{1}{4}.left(frac{1}{3}-frac{1}{5}right)e) left(frac{3}{5}+0,415-frac{3}{200}right).2frac{2}{3}.0,25
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Thực hiện phép tính:
a) \(\frac{-3}{5}+\frac{28}{5}\left(\frac{43}{56}+\frac{5}{24}-\frac{21}{63}\right)\)
b) \(\frac{5}{7}.\frac{11}{18}+\frac{3}{7}.\frac{5}{18}+\frac{4}{9}\)
c) \(\frac{-3}{4}.5\frac{3}{13}-0,75.\frac{36}{13}\)
d) \(6\frac{5}{12}:2\frac{3}{4}-11\frac{1}{4}.\left(\frac{1}{3}-\frac{1}{5}\right)\)
e) \(\left(\frac{3}{5}+0,415-\frac{3}{200}\right).2\frac{2}{3}.0,25\)
Tính tổng:
A=\(\frac{5}{2}+\frac{5}{6}+\frac{5}{18}+\frac{5}{54}+\frac{5}{162}+\frac{5}{486}\)
Ta có : \(A=\frac{5}{2}+\frac{5}{6}+\frac{5}{18}+\frac{5}{54}+\frac{5}{162}+\frac{5}{468}\)
\(\Leftrightarrow\frac{1}{3}A=\frac{5}{6}+\frac{5}{18}+\frac{5}{54}+\frac{5}{162}+\frac{5}{468}+\frac{5}{1458}\)
\(\Leftrightarrow A-\frac{1}{3}A=\frac{5}{2}-\frac{5}{1458}\)
\(\Leftrightarrow\frac{2}{3}A=\frac{5}{2}-\frac{5}{1458}\)
\(\Leftrightarrow\frac{2}{3}A=\frac{1820}{729}\)
\(\Leftrightarrow A=\frac{1820}{729}.\frac{3}{2}=\frac{910}{243}\)
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\(A=\frac{5}{2}+\frac{5}{6}+\frac{5}{18}+\frac{5}{54}+\frac{5}{162}+\frac{5}{486}\)
\(=5\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.6}+\frac{1}{6.9}+\frac{1}{9.18}\right)\)
\(=5\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{6}+\frac{1}{6}-\frac{1}{9}+\frac{1}{9}-\frac{1}{18}\right)\)
\(=5\left(1-\frac{1}{18}\right)\)
\(=\frac{85}{18}\)
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Tính giá trị các biểu thức sau theo cách có dùng tính chất phép tính phân số:
a) \(\frac{2}{3} + \frac{{ - 2}}{5} + \frac{{ - 5}}{6} - \frac{{13}}{{10}};\)
b) \(\frac{{ - 3}}{7}.\frac{{ - 1}}{9} + \frac{7}{{ - 18}}.\frac{{ - 3}}{7} + \frac{5}{6}.\frac{{ - 3}}{7}\)
a)
\(\begin{array}{l}\frac{2}{3} + \frac{{ - 2}}{5} + \frac{{ - 5}}{6} - \frac{{13}}{{10}}\\ = \frac{2}{3} + \frac{{ - 5}}{6} + \frac{{ - 2}}{5} - \frac{{13}}{{10}}\\ = \left( {\frac{2}{3} + \frac{{ - 5}}{6}} \right) + \left( {\frac{{ - 2}}{5} - \frac{{13}}{{10}}} \right)\\ = \left( {\frac{4}{6} + \frac{{ - 5}}{6}} \right) + \left( {\frac{{ - 4}}{{10}} - \frac{{13}}{{10}}} \right)\\ = \frac{{ - 1}}{6} + \frac{{ - 17}}{{10}}\\ = \frac{{ - 5}}{{30}} + \frac{{ - 51}}{{30}}\\ = \frac{{ - 56}}{{30}}\\ = \frac{{ - 28}}{{15}}\end{array}\)
b)
\(\begin{array}{l}\frac{{ - 3}}{7}.\frac{{ - 1}}{9} + \frac{7}{{ - 18}}.\frac{{ - 3}}{7} + \frac{5}{6}.\frac{{ - 3}}{7}\\ = \frac{{ - 3}}{7}.\left( {\frac{{ - 1}}{9} + \frac{7}{{ - 18}} + \frac{5}{6}} \right)\\ = \frac{{ - 3}}{7}.\left( {\frac{{ - 2}}{{18}} + \frac{{ - 7}}{{18}} + \frac{{15}}{{18}}} \right)\\ = \frac{{ - 3}}{7}.\frac{{ 6}}{{18}}\\ = \frac{-1}{7}\end{array}\).
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1.Thực hiện phép tính:(hepl me)a)frac{-3}{5}+frac{28}{5}timesleft(frac{43}{56}+frac{5}{24}-frac{21}{63}right)b)frac{5}{7}timesfrac{11}{18}+frac{3}{7}timesfrac{5}{18}+frac{4}{9}c)frac{-3}{4}times5frac{3}{13}-0,75timesfrac{36}{13}d)6frac{5}{12}:2frac{3}{4}-11frac{1}{4}timesleft(frac{1}{3}-frac{1}{5}right)e)left(frac{3}{5}+0,415-frac{3}{200}right)times2frac{2}{3}times0,25
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\(\)1.Thực hiện phép tính:(hepl me)
a)\(\frac{-3}{5}\)+\(\frac{28}{5}\)\(\times\)\(\left(\frac{43}{56}+\frac{5}{24}-\frac{21}{63}\right)\)
b)\(\frac{5}{7}\times\frac{11}{18}+\frac{3}{7}\times\frac{5}{18}+\frac{4}{9}\)
c)\(\frac{-3}{4}\times5\frac{3}{13}-0,75\times\frac{36}{13}\)
d)\(6\frac{5}{12}:2\frac{3}{4}-11\frac{1}{4}\times\left(\frac{1}{3}-\frac{1}{5}\right)\)
e)\(\left(\frac{3}{5}+0,415-\frac{3}{200}\right)\times2\frac{2}{3}\times0,25\)
Bài làm :
a)\(=-\frac{3}{5}+\frac{28}{5}\times\frac{9}{14}=-\frac{3}{5}+\frac{18}{5}=3\)
b)\(=\frac{55}{126}+\frac{5}{42}+\frac{4}{9}=1\)
c)\(=-\frac{51}{13}-\frac{27}{13}=-6\)
d)\(=\frac{7}{3}-11\frac{1}{4}\times\frac{2}{15}=\frac{7}{3}-\frac{3}{2}=\frac{5}{6}\)
e)\(=1\times\frac{8}{3}\times0,25=\frac{2}{3}\)