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\(5\dfrac{3}{4}:3+2\dfrac{1}{4}\times\dfrac{1}{3}-\dfrac{1}{8}=\left(5\dfrac{3}{4}+2\dfrac{1}{4}\right)\times\dfrac{1}{3}-\dfrac{1}{8}\\ =8\times\dfrac{1}{3}-\dfrac{1}{8}=\dfrac{8}{3}-\dfrac{1}{8}=\dfrac{61}{24}\\ ----\\ \dfrac{3}{5}:\dfrac{5}{6}:\dfrac{6}{7}:\dfrac{7}{8}+\dfrac{2}{5}+\dfrac{23}{35}\\ =\dfrac{3}{5}\times\dfrac{6}{5}\times\dfrac{7}{6}\times\dfrac{8}{7}+\dfrac{2}{5}+\dfrac{23}{35}=\dfrac{18}{25}\times\dfrac{4}{3}+\dfrac{2}{5}+\dfrac{23}{35}=\dfrac{353}{175}\)
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A. 7,2 x 2,8 + 7,3 x 7,2
= 7,2 x ( 2,8 + 7,3 )
= 7,2 x 10,1
= 72,72
B. 54,57 x 83 - 54,57 x 23
= 54,57 x ( 83 - 23 )
= 54,57 x 60
= 3274,2
C. 0,125 x 4 x 7 x 84 x 8
= ( 0,125 x 8) x ( 4 x 7 x 84)
= 1 x 2352
= 2352
D. 6,953 x 3,7 + 6,953 x 6,2 + 6,953 x 0,1
= 6,953 x ( 3,7 + 6,2 + 0,1)
= 6,953 x 10
= 69,53
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`@` `\text {Ans}`
`\downarrow`
`2023 \times 14 + 2023 \times 83+97`
`= 2023 \times (14+83) + 97`
`= 2023 \times 97 + 97`
`= 196231 +97`
`= 196328`
`78 \times 31+78 \times 24+78 \times 17+78 \times 22 \times 72`
`= 78 \times (31+24+17+22 \times 72)`
`= 78 \times (31+24+17+1584)`
`= 78 \times 1656`
`= 129168`
`371 \times 69+371 \times 14+629 \times 83`
`= 371 \times (69+14) + 629 \times 83`
`= 371 \times 83 + 629 \times 83`
`= 83 \times (371+629)`
`= 83 \times 1000`
`= 83000`
`91 \times 51+49 \times 163-49 \times 72`
`= 91 \times 51 + 49 \times (163-72)`
`= 91 \times 51+49 \times 91`
`= 91 \times (51+49)`
`= 91 \times 100`
`= 9100`
`3 \times 12 \times 17 + 4 \times 9 \times 81 + 2 \times 6 \times 6`
`= 9 \times 4 \times 17 + 4 \times 9 \times 81 + 4 \times 9 \times 2`
`= 9 \times 4 \times (17+81+2)`
`= 36 \times 100`
`= 3600`
`42 \times 17 + 58 \times 83 \times 42 \times 83 + 42 \times 83 + 17`
`= 17 \times (42+58) + 42 \times 83 \times (58 \times 83 +1)`
`= 17 \times 100 + 3486 \times 4815`
`= 1700 + 16785090`
`= 16786790`
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7,2 x 2,8 + 7,3 x 7,2 = 7,3 x (2,8 + 7,2)
= 7,3 x 10 = 73
54,57 x 83 - 54,57 x 23 = 54,57 x (83 - 23)
= 54,57 x 60 = 3274,2
1/2 x 45 + 0,5 x 37 + 5/10 x 18
= 0,5 x 45 + 0,5 x 37 + 0,5 x 18
= 0,5 x (45 + 37 + 18 )
= 0,5 x 100 = 50
0,125 x 4 x 784 x 8
= (0,125 x 8) x ( 4 x 784)
= 1 x 3136 = 3136
7,2 x 2,8 + 7,3 x 7,2
=7,2x(2,8+7,3)
=7,2x10,1
=72,72
54,57 x 83 - 54,57 x 23
=54,57 x (83-23)
=54,57 x 60
=3274,2
1/2 x 45 + 0,5 x 37 + 5/10 x 18
=1/2 x 45+1/2 x 37+1/2 x 18
=1/2 x (45+37+18)
=1/2 x 100
=50
0, 125 x 4 x 784 x 8
=(0,125 x 8) x (784 x 4)
=1 x 3136
=3136
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106105 - 150 : x = 386
150 : x = 106105 - 386
150 : x = 105719
x = 150 : 105719
x = 150/105719
44820 : x = 83 . 5
44820 : x = 415
x = 44820 : 415
x = 108
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b1:
a,\(\frac{3}{8}:\frac{5}{4}\)=\(\frac{3}{8}.\frac{4}{5}=\frac{12}{45}=\frac{4}{15}\)
b,\(\frac{4}{7}:\frac{2}{13}=\frac{4}{7}.\frac{13}{2}=\frac{26}{7}\)
b2:
a,25:0,1=250 25x10=250 42:0,01=4200 42x100=4200 72:0,1=720 83:0,01=8300
b,13:0,25=52 13x4=52 42:0,5=84 42x2=84 75:0,5=150 125:0,25=500
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2 + 4 + 6 + 8 + .... + 24 có số số hạng là:
(24 - 2) : 2 + 1 = 12 (số)
tổng là :
(24 + 2) x 12 : 2 = 156
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8*(x+3)+x+5 =83
8x+24+x+5=83
9x+29=83
9x=54
x=6