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\(\frac{45\times16-17}{45\times15+28}=\frac{45\times15+45-17}{45\times15+28}=\frac{45\times15+28}{45\times15+28}=1\)
0,2468 + 0,8 x 0,4 x 1,25 + 2,5 + 0,7532
= (0,2468 + 0,7532) + 1 x 0,4 + 2,5
= 1 + 0,4 + 2,5
= 3,9
17,65 x 15 - 17,65 : 0,25 - 17,65
= 17,65 x 15 - 17,65 x 4 - 17,65
= 17,65 x (15 - 4 - 1)
= 17,65 x 10
= 176,5.
0,2468 + 0,8 x 0,4 x 1,25 + 2,5 + 0,7532
= ( 0,2468 + 0,7532 ) + ( 0,4 x 2,5 ) + ( 0,8 x 1,25 )
= 1 + 1 + 2
= 4
17,65 x 15 - 17,65 : 0,25 - 17,65
= 17,65 x 15 - 17,65 x 4 - 17,65 x 1
= 17,65 x ( 15 - 4 - 1 )
= 17,65 x 10
= 176,5
64 x 25 + 36 x25
= (64 + 36 )x25
= 100 x 25
= 25 00
132 x 9 + 132
= 132 x 9
= 1188
B=1x3/2x2x2x4/3x3x3x5/4x4x...x10x12/11x11
B=1x3x2x4x3x5x...x10x12/2x2x3x3x4x4x...x11x11
B=(1x2x3x...x10)x(2x3x5x...x12)/(2x3x4x...x11)x(2x3x4x...x11)
B=1x12/11x2
B=12/22
B=6/11
Vậy B = 6/11
a) ( 735 - 135 ) + ( 243 - 143 ) = 600 + 100
= 700
b) 31 x ( 118 - 48 ) = 31 x 70
= 2170
c) ( 25 x 32 ) x7 = 800 x 7
= 2400
d ) 47 x ( 63 + 47 ) - 38
= 47 x 100 - 38
= 4700 - 38
=4662
h ) ( 53 + 47 ) x ( 39 + 21 ) = 100 x 60
= 6000
Bài 1:
\(A=\frac{1}{\left(1+2\right)}+\frac{1}{\left(1+2+3\right)}+\frac{1}{\left(1+2+3+4\right)}\)\(+\frac{1}{\left(1+2+3+4+5\right)}+...+\)\(\frac{1}{\left(1+2+3+...+10\right)}\)
\(A=\frac{1}{3}+\frac{1}{6}+....+\frac{1}{55}\)
\(A=2\left(\frac{1}{6}+\frac{1}{12}+....+\frac{1}{110}\right)\)
\(A=2\left(\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{10.11}\right)\)
\(A=2\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+....+\frac{1}{10}-\frac{1}{11}\right)\)
\(A=2.\left(\frac{1}{2}-\frac{1}{11}\right)\)
\(A=\frac{9}{11}\)
Bài 2 :
2) Tử số = 11 x 13 x 15 + 3 x 3 x 3 x 11 x 13 x 15 + 5 x 5 x 5 x 11 x 13 x 15 + 9 x 9 x 9 x 11 x 13 x 15
= (1 + 3 x 3 x 3 + 5 x 5 x 5 + 9 x 9 x9) x 11 x 13 x 15 = (1+27+125+ 729) x 11 x 13 x 15
Mẫu số = 11 x 13 x 17 + 3 x 3 x 3 x 13 x 15 x 19 + 5 x 5 x 5 x 13 x 15 x 17 + 9 x 9 x 9 x 13 x 15 x 17 lớn hơn 11 x 13 x 15 + 3 x 3 x 3 x 13 x 15 x 17 + 5 x 5 x 5 x 13 x 15 x 17 + 9 x 9 x 9 x 13 x 15 x 17
= (1 + 3 x 3 x 3 + 5 x 5 x 5 + 9 x 9 x9) 13 x 15 x 17 = (1+27+125+729) x 13 x 15 x 17
\(\Rightarrow A< \frac{\left(1+27+125+729\right)\times11\times13\times15}{\left(1+27+125+729\right)\times13\times15\times17}\)
\(=\frac{11}{17}\)
\(=\frac{1111}{1717}=B\)
Vậy \(A=B\)
28,01 x 15 + 28,01 + 28,01 x 39 + 28,01 x 45
= 28,01 x (15 + 1 + 39 + 45)
= 28,01 x 100
= 2801
\(28,01\times15+28,01+28,01\times39+28,01\times45\)
\(=28,01\times15+28,01\times1+28,01\times39+28,01\times45\)
\(=28,01\times\left(15+1+39+45\right)\)
\(=28,01\times100\)
\(=2801\)