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\(\dfrac{5}{15}=\dfrac{5:5}{15:5}=\dfrac{1}{3}\\ \dfrac{28}{56}=\dfrac{28:28}{56:28}=\dfrac{1}{2}\\ \dfrac{48}{96}=\dfrac{48:48}{96:48}=\dfrac{1}{2}\\ \dfrac{15}{120}=\dfrac{15:15}{120:15}=\dfrac{1}{8}\\ \dfrac{60}{80}=\dfrac{60:20}{80:20}=\dfrac{3}{4}\)
rút gọn thành
1/2 x 2/3 x 3/4 x 4/5 x 5/6 x 6/7 x 7/8 x 8/9
1x2x3x4x5x6x7x8
__________________
2x3x4x5x6x7x8x9
gạch các số giống nhau ở tử và mẫu và bằng 1/9
\(\frac{24\times14\times30}{28\times12\times60}\)
\(=\frac{24}{12}\times\frac{28}{14}\times\frac{60}{30}\)
\(=2\times2\times2\)
\(=8\)
`@` `\text {Ans}`
`\downarrow`
`A)`
`37 \times 46+37 \times 51+111`
`= 37 \times (46+51)+111`
`= 37 \times 97+111`
`= 3589 +111`
`= 3700`
`B)`
`35 \times 215-35 \times 210-175`
`= 35 \times (215-210)-175`
`= 35 \times 5-175`
`= 175-175=0`
`E)`
`76 \times 102-76 \times 2`
`= 76 \times (102-2)`
`= 76 \times 100`
`= 7600`
`C)`
`85 \times 94+85 \times 2 +170 \times 2`
`= 85 \times (94+2) + 170 \times 2`
`= 85 \times 96+170 \times 2`
`= 8160+340`
`= 8500`
`48 \times 56+28 \times 104`
`= 48 \times 28 \times 2+28 \times 104`
`= 28 \times (48 \times 2+104)`
`= 28 \times (96+104)`
`= 28 \times 200`
`= 5600`
`G)`
`206 \times 12-206-206`
`= 206 \times (12-1-1)`
`= 206 \times 10`
`= 2060`
a) 37 x 46 + 37 x 51 + 111
= 37 x ( 46 + 51 ) + 111
= 37 x 97 + 111
= 3589 + 111
= 3700
b) 35 x 215 - 35 x 210 - 175
= 35 x ( 215 - 210 ) - 175
= 35 x 5 - 175
= 175 - 175
= 0
e) 76 x 102 - 76 x 2
= 76 x ( 102 - 2 )
= 76 x 100
= 7600
c) 85 x 94 + 95 x 2 + 170 x 2
= 7990 + 2 x ( 95 + 170 )
= 7990 + 2 x 265
= 7990 + 530
= 8520
48 x 56 + 28 x 104
= 2688 + 2912
= 5600
g) 206 x 12 - 206 - 206
= 2472 - 206 - 206
= 2266 - 206
= 2060
a) 60 : (2 x 5) = 60 : 10 = 6
60 : 2 : 5 = 30 : 5 = 6
60 : 5 : 2 = 12 : 2 = 6
Vậy 60 : (2 x 5) = 60 : 2 : 5 = 60 : 5 : 2
b) (24 x 48) : 12 = 1 152 : 12 = 96
(24 : 12) x 48 = 2 x 48 = 96
24 x (48 : 12) = 24 x 4 = 96
Vậy (24 x 48) : 12 = (24 : 12) x 48 = 24 x (48 : 12)
a,(5.9.x-25):12=0
(45.x-25):12=0
(45.x-25) =0x12
(45.x-25)=0
45.x=0+25
45.x=25
x=25:45
x=5/9
b,30.(x-28)=120
(x-28)=120:30
(x-28)=4
x=4+28
x=32
c'84-4.(2.x+1)=48
4.(2.x+1)=84-48
4.(2.x+1)=36
(2.x+1)=36:4
(2.x+1)=9
2.x=9-1
2.x=8
x=8:2
x=4
d,[(x+32)-15].2=60
[(x+32)-15]=60:2
[(x+32)-15]=30
(x+32)=30+15
(x+32)=45
x=45-32
x=13
\(37\times46+37\times51+111\)
\(=37\times46+37\times51+37\times3\)
\(=37\times\left(46+51+3\right)\)
\(=37\times100\)
\(=3700\)
------------
\(172\times47+86\times8-34\times4\)
\(=172\times47+172\times4-34\times4\)
\(=172\times\left(47+4\right)-34\times4\)
\(=172\times51-34\times4\)
\(=172\times3\times17-17\times2\times4\)
\(=17\times\left(172\times3-2\times4\right)\)
\(=17\times\left(516-8\right)\)
\(=17\times508\)
\(=8636\)
------------
\(35\times215-35\times200-175\)
\(=35\times215-35\times200-35\times5\)
\(=35\times\left(215-200-5\right)\)
\(=35\times10\)
\(=350\)
------------
\(48\times56+28\times104\)
\(=48\times2\times28+28\times104\)
\(=28\times\left(48\times2+104\right)\)
\(=28\times200\)
\(=5600\)