\(\frac{44.52.60}{11.13.15}\)

\(=\frac{2^2.11.2^2.13.2^2.15}{11.13.15}\)

\(=2^2.2^2.2^2=4^3=64\)

= 44.52.60 :11:13:15

=(44:11). (52:13). (60:15)

= 4.4.4

=64

2010 x 2010 - 2009 x 2011

= ( 2011 - 2010 ) x 2010 - 2009 x 2011

= 2011 x 2010 - 1 x 2010 - 2009 x 2011

= 2011 x ( 2010 - 2009 ) - 1 x 2010

= 2011 x 1 - 2010 

= 2011 - 2010 

= 1

( 456 x 11 + 912 ) x 37 : ( 13 x 74 )

= ( 456 x 11 + 456 x 2 ) x 37 : ( 13 x 74 )

= [ 456 x ( 11 + 2 ) ] x 37 : ( 13 x 74 )

= [ 456 x 13 ] x 37 : ( 13 x 74 )

= 13 x 456 x 37 : ( 13 x 37 x 2 )

= 13 x 37 x 2 x 228 : ( 13 x 37 x 2 )

= ( 13 x 37 x 2 ) x 228 : ( 13 x 37 x 2 )

= ( 13 x 37 x 2 ) : ( 13 x 37 x 2 ) x 228

= 1 x 228

= 228

(44 x 52 x 60) : (11 x13 x 15 )

= [ ( 4 x 11 ) x ( 4 x 13 ) x ( 4 x 15 ) ] : (11 x13 x 15 )

= [ 4 x 11 x 4 x 13 x 4 x 15 ] : (11 x13 x 15 )

= [ ( 4 x 4 x 4 ) x ( 11 x 13 x 15 ) ] : (11 x13 x 15 )

= 64 x (11 x13 x 15 ) : (11 x13 x 15 )

= 64 x 1

= 64

a) 2010 x 2010 - 2009 x 2011 

= 2010 x 2010 - [ 2009 x ( 2010 +1) ]

=2010 x 2010 - 2009 x 2010 - 2009 

=2010( 2010 - 2009 ) -2009 

= 2010 -2019

= 1

c) ( 44 x 52 x60 ) : (11x13x15)

\(\frac{44\cdot52\cdot60}{11\cdot13\cdot15}=\frac{4\cdot11\cdot4\cdot13\cdot4\cdot15}{11\cdot13\cdot15}=64\)

B) (456 x 11 +912) x 37 : ( 13 x 74 )

= \(\frac{\left(456\cdot11+912\right)\cdot37}{13\cdot74}=\frac{\left[456\left(11+2\right)\right]\cdot37}{13\cdot37}=\frac{456\cdot13}{13\cdot2}=\frac{456}{2}=228\)

Nhớ k mik nha bn

a) (44 x 52 x 60) : (11 x 13 x 15) 

= 44 x 52 x 60 : 11 : 13 : 15

= (44 : 11) x (52 : 13) x (60 : 15)

= 4 x 4 x 4 

= 64

b) 2016 x 20152015 - 2015 x 20162016

= 2016 x (20150000 + 2015) - 2015 x (20160000 + 2016)

= 2016 x (2015 x 10000 + 2015) - 2015 x (2016 x 10000 + 2016)

= 2016 x [2015 x (10000 + 1)] - 2015 x [2016 x (10000 + 1)]

= 2016 x 2015 x 10001 - 2015 x 2016 x 10001

= 0

c) 46 x 37 + 46 x 63 + 54 x 267 - 54 x 167

= 46 x (37 + 63) + 54 x (267 - 167)

= 46 x 100 + 54 x 100

= 100 x (46 + 54)

= 100 x 100

= 10000 

\(\dfrac{11}{15}\times\dfrac{1}{7}+\dfrac{11}{15}\times\dfrac{2}{7}+\dfrac{11}{15}\times\dfrac{4}{7}\)

\(=\dfrac{11}{15}\times\left(\dfrac{1}{7}+\dfrac{2}{7}+\dfrac{4}{7}\right)\)

\(=\dfrac{11}{15}\times1=\dfrac{11}{15}\)

(44 x 52 x 60) : (11 x 13 x 15)

= 44 x 52 x 60 : 11 : 13 : 15

= (44 : 11) x (52 : 13) x (60 : 15)

= 4 x 4 x 4

= 16 x 4 = 64

Ủng hộ mk nha ^_-

(11x4x13x4x15x4)chia (11x13x15)

=4x4x4=64

k mk nhé

( 44 x 52 x 60 ) : (11 x 13 x 15)

= 44 x 52 x 60 : 11 : 13 :15

= (44 : 11) x ( 52 : 13) x ( 60 : 15)

= 4 x 4 x 4

= 64

ủng hộ mk nhé

Tính bằng cách hợp lí nhất:

\(\left(44.52.60\right)\div\left(11.13.15\right)\)

\(=\)\(\left(4.11.4.13.4.15\right)\div\left(11.13.15\right)\)

\(=\)\(\left(4.4.4\right).\left(11.13.15\right)\div\left(11.13.15\right)\)

\(=\)\(\left(4.4.4\right)\div1\)

\(=\)\(4.4.4\)

\(=\)\(64\)

Thanks nha

a,\(\frac{1}{5}\times\frac{2}{9}\div\frac{1}{15}\)

\(=\frac{1}{5}\times\frac{2}{9}\times15\)

\(=\left(\frac{1}{5}\times15\right)\times\frac{2}{9}\)

\(=3\times\frac{2}{9}\)

\(=\frac{2}{3}\)

b\(\frac{4}{15}\times\frac{7}{15}\times\frac{5}{4}\)

\(=\left(\frac{4}{15}\times\frac{5}{4}\right)\times\frac{7}{15}\)

\(=\frac{1}{3}\times\frac{7}{15}\)

\(=\frac{7}{45}\)

c,\(\frac{21}{23}\times\frac{5}{11}\times\frac{44}{?}\)

d,\(26\times\frac{13}{42}\div13\)

\(=\left(26\div13\right)\times\frac{13}{42}\)

\(=2\times\frac{13}{42}\)

\(=\frac{13}{21}\)

ờ ờ .......................... hong bt

21/23 x 5/11x 44/35

\(x-\left(\frac{20}{11.13}+\frac{20}{13.15}+\frac{20}{15.17}+...+\frac{20}{53.55}\right)=\frac{3}{11}.\)

\(x-\frac{20}{2}.\left(\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}+\frac{1}{15}-\frac{1}{17}+...+\frac{1}{53}-\frac{1}{55}\right)=\frac{3}{11}\)

\(x-10.\left(\frac{1}{11}-\frac{1}{55}\right)=\frac{3}{11}\)

\(x-10\cdot\frac{4}{55}=\frac{3}{11}\)

\(x-\frac{8}{11}=\frac{3}{11}\)

 x = 1

   ( 44 x 52 x 60 ) : ( 11x 13 x 15)

= 4( 11 x 13 x 15) : ( 11 x 13 x 15)

= 4 

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