Tính nhanh
41/27 × 13/18 -13/18 × 14/27
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41 / 27 x 13 / 18 - 13 / 18 x 14 / 27 = ( 41 / 27 - 14 / 27 ) x 13 / 18 = 27 / 27 x 13 / 18 = 1 x 13 / 18 = 13 / 18
\(27\cdot\left(13+5\right)+18\cdot\left(59+14\right)\)
\(=27\cdot18+18\cdot73\)
\(=18\cdot\left(27+73\right)\)
\(=18\cdot100\)
\(=1800\)
48/41 + 45/27 + 34/28 + 37/23 - 18/27 - 6/28 - 7/41 - 14/23
= (48/41 - 7/41) + (45/27 - 18/27) + (34/28 - 6/28) + (37/23 - 14/23)
= 1 + 1 + 1 + 1
= 4
1) $(-81)\cdot27-3^4\cdot(-77)$
$=(-81)\cdot27-81\cdot(-77)$
$=-81\cdot[27+(-77)]$
$=-81\cdot(27-77)$
$=-81\cdot(-50)$
$=81\cdot50$
$=4050$
2) $(-16)\cdot32-(-4)^2\cdot18$
$=(-16)\cdot32-16\cdot18$
$=-16\cdot(32+18)$
$=-16\cdot50$
$=-800$
3) $(-2)^4\cdot289-16\cdot189$
$=16\cdot289+16\cdot(-189)$
$=16\cdot[289+(-189)]$
$=16\cdot(289-189)$
$=16\cdot100$
$=1600$
4) $41\cdot(-18)+41\cdot(-81)-41$
$=1\cdot(-18)+41\cdot(-81)+41\cdot(-1)$
$=41\cdot[(-18)+(-81)+(-1)]$
$=41\cdot(-18-81-1)$
$=41\cdot(-99-1)$
$=41\cdot(-100)$
$=-4100$
5) $17\cdot(-37)-23\cdot37-46\cdot(-37)$
$=17\cdot(-37)+23\cdot(-37)-46\cdot(-37)$
$=-37\cdot(17+23-46)$
$=-37\cdot(40-46)$
$=-37\cdot(-6)$
$=37\cdot6$
$=222$
6) $-48+48\cdot(-78)+48\cdot(-21)$
$=48\cdot(-1)+48\cdot(-78)+48\cdot(-21)$
$=48\cdot[(-1)+(-78)+(-21)]$
$=48\cdot(-1-78-21)$
$=48\cdot(-79-21)$
$=48\cdot(-100)$
$=-4800$
7) $29\cdot(-13)+27\cdot(-29)+(-14)\cdot(-29)$
$=-29\cdot13+27\cdot(-29)+(-14)\cdot(-29)$
$=-29\cdot[13+27+(-14)]$
$=-29\cdot(40-14)$
$=-29\cdot26$
$=-754$
$\text{#}Toru$
a)\(4\frac{2}{5}+5\frac{2}{3}+2\frac{3}{4}+\frac{3}{5}+\frac{4}{12}+\frac{1}{4}\)
\(=\left(4\frac{2}{5}+\frac{3}{5}\right)+\left(5\frac{2}{3}+\frac{4}{12}\right)+\left(2\frac{3}{4}+\frac{1}{4}\right)\)
\(=5+6+3=14\)
b)\(\frac{41}{27}\cdot\frac{13}{18}-\frac{13}{18}\cdot\frac{14}{27}\)
\(=\frac{13}{18}\cdot\left(\frac{41}{27}-\frac{14}{27}\right)\)
\(=\frac{13}{18}\cdot1=\frac{13}{18}\)
`16/27xx13/29+16/27xx14/29`
`=16/27xx(13/29+14/29)`
`=16/27xx27/29`
`=16/29`
`48/49+15/39-18/49+15/39`
`=(48/49-18/49)+(15/39+15/39)`
`=30/49+30/39`
`=880/637`
13/18
=13/18x(41/27-14,27)
=13/18x1
=13/18