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b,21/17x13/14x56x3/42
=21/17x3/42x56x13/14
=21x3/17x42 x 56x13/14
=21x3/17x21x2 x 14x4x13/14
=3/17x2 x 4x13
=3/24 x 52=3x52/24
=3x52/3x8
=52/8=13/2
a, 6/7 x 16/15 x 7/6 x 21/32
=(6/7 x 7/6)x16/15x21/32
=16/15x21/32
=16x21/15x32
=16x3x7/3x5x16x2
=7/5x2=7/10
\(\frac{11}{6}\times\frac{15}{23}-\frac{11}{6}\times\frac{7}{23}\)= \(\frac{11}{6}\times\left(\frac{15}{23}-\frac{7}{23}\right)\)
=\(\frac{11}{6}\times\frac{8}{23}\)
= \(\frac{44}{69}\)
=(2.34).135+(17.2).80+650.34
=34.(135+135+80+650)
=34.900
=30600
c ) 815 - 23 - 77 + 185
= ( 815 + 185 ) - ( 23 + 77 )
= 1000 - 100 = 900
m ) 8 x 427 x 3 + 6 x 573 x 4
= 24 x 427 + 24 x 573
= 24 x ( 427 + 573 )
= 24 x 1000
= 24000
g ) 52 - 42 + 37 + 28 - 38 + 63
= ( 52 + 28 ) - ( 42 + 38 ) + ( 37 + 63 )
= 80 - 80 + 100
= 0 + 100
= 100
h ) 35 x 18 - 9 x 70 + 100
= 7 x 5 x 9 x 2 - 9 x 7 x 5 x 2 + 100
= 0 + 100
= 100
n ) 2008 x 867 + 2009 x 133
= 2008 x 867 + ( 2008 + 1 ) x 133
= 2008 x 867 + 2008 x 133 + 133
= 2008 x ( 867 + 133 ) + 133
= 2008 x 1000 + 133
= 2008000 + 133
= 2008133
i ) 326 x 78 + 327 x 22
= 326 x 78 + ( 326 + 1 ) x 22
= 326 x 78 + 326 x 22 + 22
= 326 x ( 78 + 22 ) + 22
= 326 x 100 + 22
= 32600 +22
= 32622
q ) ( 20 + 21 + 22 + 23 + 24 + 25 ) x ( 16 - 2 x 8 )
= ( 20 + 21 + 22 + 23 + 24 + 25 ) x ( 16 - 16)
= ( 20 + 21 + 22 + 23 + 24 + 25 ) x 0
= 0
TL:
8/15 x 5/6 = 40/90 = 4/9
41/20 x 3/4 = 123/80
(11/23 + 9/23) + (18/23 + 2/23) = 20/23 + 20/23 = 40/43
HT
\(\left(\frac{2}{3}\times\frac{4}{5}\right)\times\frac{5}{6}\) = \(\frac{2}{3}\times\frac{4}{5}\times\frac{5}{6}\)=\(\frac{2\times4\times5}{3\times5\times6}\)=\(\frac{2\times4\times5}{3\times5\times2\times3}\)=\(\frac{4}{9}\)
\(\frac{11}{23}+\frac{2}{23}+\frac{9}{23}+\frac{18}{23}\)=\(\frac{\left(11+9\right)+\left(18+2\right)}{23}\)=\(\frac{20+20}{23}\)=\(\frac{40}{23}\)
\(\frac{27}{12}+\frac{17}{6}-\frac{25}{36}-\frac{15}{6}\)=\(\left(\frac{27}{12}-\frac{25}{36}\right)+\left(\frac{17}{6}-\frac{15}{6}\right)\)=\(\frac{14}{9}+\frac{2}{6}\)=\(\frac{17}{9}\)
/HT\
12345 x 17 + 23 x 12345 + 12345 + 12345 x 35 + 12345 x 24
12345 x ( 17 + 23 + 35 + 24 )
12345 x 99
1222155
= 12345 x 17 + 23 x 12345 + 12345 x 1 + 12345 x 35 + 12345 x 24
= 12345 x ( 17 + 23 + 1 + 35 + 24 )
= 12345 x 100
= 1234500
34 x 28 - 34 x 11 - 7 x 34
= 34 x (28 - 11 - 7)
= 34 x 10
= 340
\(\dfrac{x}{7}=\dfrac{6}{42}\)
=>\(\dfrac{x}{7}=\dfrac{1}{7}\)
=>x=1
b: \(\dfrac{17}{23}\times\dfrac{69}{34}\times\dfrac{46}{70}=\dfrac{17}{34}\times\dfrac{46}{23}\times\dfrac{69}{70}\)
\(=\dfrac{1}{2}\times2\times\dfrac{69}{70}=\dfrac{69}{70}\)