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a) \(\dfrac{25}{37}\times\dfrac{18}{29}+\dfrac{18}{29}\times\dfrac{12}{37}\)
\(=\dfrac{18}{29}\times\left(\dfrac{25}{37}+\dfrac{12}{37}\right)\)
\(=\dfrac{18}{29}\times\dfrac{37}{37}\)
\(=\dfrac{18}{29}\times1\)
\(=\dfrac{18}{29}\)
b) \(\dfrac{31}{85}\times\dfrac{11}{19}+\dfrac{31}{85}\times\dfrac{12}{19}-\dfrac{42}{19}\times\dfrac{31}{85}\)
\(=\dfrac{31}{85}\times\left(\dfrac{11}{19}+\dfrac{12}{19}-\dfrac{42}{19}\right)\)
\(=\dfrac{31}{85}\times\dfrac{-19}{19}\)
\(=\dfrac{31}{85}\times-1\)
\(=-\dfrac{31}{85}\)
c) \(\dfrac{16}{53}:\dfrac{17}{9}-\dfrac{16}{53}:\dfrac{17}{8}\)
\(=\dfrac{16}{53}:\left(\dfrac{9}{17}-\dfrac{8}{17}\right)\)
\(=\dfrac{16}{53}:\dfrac{1}{17}\)
\(=\dfrac{16}{901}\)
c) \(\dfrac{1}{5}\times\dfrac{12}{31}\times\dfrac{4}{3}+\dfrac{19}{31}\times\dfrac{4}{15}\)
\(=\dfrac{4}{15}\times\dfrac{12}{31}+\dfrac{19}{31}\times\dfrac{4}{15}\)
\(=\dfrac{4}{15}\times\left(\dfrac{12}{31}+\dfrac{19}{31}\right)\)
\(=\dfrac{4}{15}\times\dfrac{31}{31}\)
\(=\dfrac{4}{15}\times1\)
\(=\dfrac{4}{15}\)
a: =18/29*(25/37+12/37)
=18/29
b: =31/85(11/19+12/19-42/19)
=-31/85
c; =16/53(9/17+8/17)=16/53
d: =4/15(12/31+19/31)=4/15
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Bài 2 : Tính nhanh
a ) ( 8 , 7 x 29 + 8, 7 x 35 ) : 64
= [ 8.7 x ( 29 + 35 ) ] : 64
= [ 8.7 x 64 ] : 64
= 8.7
b ) 372 x 9 + 372
= 372 x ( 9 + 1 )
= 372 x 10
= 3720
c ) 37 x 24 + 37 x 76 + 63 x 79 + 63 x 21
= 37 x ( 24 + 76 ) + 63 x ( 79 + 21 )
= 37 x 100 + 63 x 100
= 100 x ( 37 + 63 )
= 100 x 100
= 10000
d ) 42 x 53 + 47 x 156 - 47 x 114
= 42 x 53 + 47 x ( 156 - 114 )
= 42 x 53 + 47 x 42
= 42 x ( 53 + 47 )
= 42 x 100
= 4200
hok tốt nha
a) (8,7 x 29 + 8,7 x 35) : 64
= [8,7 x (29 + 35)] : 64
= (8,7 x 64) : 64
= 8,7 x (64 : 64)
= 8,7 x 1 = 8,7
b) 372 x 9 + 372 = 372 x (9 + 1)
= 372 x 10 = 3720
c) 37 x 24 + 37 x 76 + 63 x 79 + 63 x 21
= 37 x (24 + 76) + 63 x (79 + 21)
= 37 x 100 + 63 x 100
= (37 + 63) x 100
= 100 x 100 = 10000
d) 42 x 53 + 47 x 156 - 47 x 114
= 42 x 53 + 47 x (156 - 114)
= 42 x 53 + 47 x 42
= 42 x (53 + 47)
= 42 x 100
= 4200
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1.\(\frac{4}{3.7}+\frac{4}{7.11}+\frac{4}{11.15}+\frac{4}{15.19}+\frac{4}{19.23}+\frac{4}{23.27}\)
\(=\frac{1}{3}-\frac{1}{7}+\frac{1}{7}-\frac{1}{11}+...+\frac{4}{23}-\frac{4}{27}\)
\(=\frac{1}{3}-\frac{1}{27}=\frac{9}{27}-\frac{1}{27}=\frac{8}{27}\)
2. Đặt \(A=\frac{3}{14}+\frac{3}{84}+\frac{3}{204}+\frac{3}{374}+\frac{3}{594}+\frac{3}{864}\)
\(\Rightarrow A=\frac{3}{2.7}+\frac{3}{7.12}+...+\frac{3}{27.32}\)
\(\Rightarrow5A=3.\left(\frac{5}{2.7}+\frac{5}{7.12}+...+\frac{5}{27.32}\right)\)
\(\Rightarrow5A=3.\left(\frac{1}{2}-\frac{1}{7}+\frac{1}{7}-\frac{1}{12}+...+\frac{1}{27}-\frac{1}{32}\right)\)
\(\Rightarrow5A=3.\left(\frac{1}{2}-\frac{1}{32}\right)\)
\(\Rightarrow5A=3.\frac{15}{32}=\frac{45}{32}\Rightarrow A=\frac{45}{32}:5=\frac{9}{32}\)
3. Đặt \(S=\frac{1}{10}+\frac{1}{40}+\frac{1}{88}+...+\frac{1}{340}\)
\(\Rightarrow3S=\frac{3}{10}+\frac{3}{40}+...+\frac{3}{340}\)
\(\Rightarrow3S=\frac{3}{2.5}+\frac{3}{5.8}+...+\frac{3}{17.20}\)
\(\Rightarrow3S=\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+...+\frac{1}{17}-\frac{1}{20}\)
\(\Rightarrow3S=\frac{1}{2}-\frac{1}{20}=\frac{9}{20}\Rightarrow S=\frac{9}{20}:3=\frac{3}{20}\)
Câu 1:
\(\frac{4}{3.7}+\frac{4}{7.11}+\frac{4}{11.15}+\frac{4}{15.19}+\frac{4}{19.23}+\frac{4}{23.27}\)
\(\Rightarrow\frac{1}{3}-\frac{1}{7}+\frac{1}{7}-\frac{1}{11}+\frac{1}{11}-\frac{1}{15}+\frac{1}{15}-\frac{1}{19}+\frac{1}{19}-\frac{1}{23}+\frac{1}{23}-\frac{1}{27}\)
\(\Rightarrow\frac{1}{3}-\frac{1}{27}\)
\(=\frac{8}{27}\)
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\(18\times\left(\frac{37}{42}+\frac{37}{56}+\frac{37}{72}\right)\)
\(=18\times\left(37\times\frac{1}{42}+37\times\frac{1}{56}+37\times\frac{1}{72}\right)\)
\(=18\times\text{[}37\left(\frac{1}{42}+\frac{1}{56}+\frac{1}{72}\right)\text{]}\)
\(=18\times\text{[}37\times\frac{1}{18}\text{]}\)
\(=18\times\frac{37}{18}=37\)
18 x [ 37/42+37/56+37/72]
= 18 x 37/18
= 37
~ Học tốt nha ~
k cho mk:>>
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a, 83:25+38:25 = 25*(83+38)
= 25 * 121
= 3025
b, 92 : 36 - 29 : 36 = 36 * ( 92 - 29 )
= 36 * 63
= 2268
a)83:25+38:25=(83+38):25
=121:25=4,84
b)92:36-29:36
=(92-29):36
=63:36=1,75
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135 - 35 . ( - 37 ) + 37 . ( - 42 - 48 )
= 135 - ( - 1295 ) + 37 . ( - 90 )
= 1430 + ( - 3330 )
= - 1900