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12/15 = 4/5 15/10 = 3/2
14/21 = 2/3 70/20 = 7/2
18/12 = 3/2 55/66 = 5/6
( 4/5 - 2/3 - 3/2 ) : ( 3/2 - 7/2 - 5/6 ) = -41/30 : -17/6
= 41/85
1+6-2+9-55+77 . 88 : 44 : 2 . 11 : 121
= 1+6-2+9-55+7
= -34
Bài 2:
a: \(A=\dfrac{11\cdot10\left(1+5\cdot5+7\cdot7\right)}{11\cdot12\left(1+5\cdot5+7\cdot7\right)}=\dfrac{10}{12}=\dfrac{5}{6}\)
\(B=\dfrac{1}{8}\cdot\dfrac{125}{5}\cdot\dfrac{81}{81}\cdot\dfrac{64}{8}=25\)
Bài 4:
a: \(\overline{275x}\) ⋮5
=>x∈{0;5}
\(\overline{275x}\) ⋮25
=>\(\overline{5x}\) ⋮25
=>x=0
b: \(\overline{9xy4}\) ⋮2
=>(x;y)∈{(0;0);(0;1);...:(9;9)}
\(\overline{9xy4}\) ⋮4
=>\(\overline{y4}\) ⋮4
=>y∈{0;2;4;6;8}
=>(x;y)∈{(1;0);(1;2);(1;4);(1;6);(1;8);(2;0);(2;2);...;(9;0);(9;2);(9;4);(9;6);(9;8)}
\(\overline{9xy4}\) ⋮8
=>\(\overline{xy4}\) ⋮8
=>(x;y)∈{(1;0);(1;4);(1;8);(2;2);(2;6);(3;0);(3;4);(3;8);(4;2);(4;6);(5;0);(5;4);(5;8);(6;2);(6;6);(7;0);(7;4);(7;8);(8;2);(8;6);(9;0);(9;4);(9;8)}
Bài 2:
a chia 72 dư 18
=>a=72k+18
a=72k+18=2(36k+9)
=>a⋮2
a=72k+18=3(24k+6)
=>a⋮3
a=72k+18=72k+16+2=4(18k+4)+2
=>a không chia hết cho 4
a=72k+18=6(12k+3)⋮6
a=72k+18=72k+16+2=8(9k+2)+2
=>a không chia hết cho 8
a=72k+18
=9(8k+2)
=>a⋮9
11 + 22 + 33 + 44 + 55 + 66 + 77 +88 + 99
= ( 11 + 99 ) + ( 88 + 22 ) + ( 33 + 77 ) + ( 44 + 66 ) + 55
= 100 + 100 + 100 + 100 + 55
= 100 x 4 + 55
= 400 + 55
= 455
\(=\dfrac{10\cdot11+25\cdot10\cdot11+49\cdot10\cdot11}{11\cdot12+25\cdot11\cdot12+49\cdot11\cdot12}=\dfrac{10\cdot11}{11\cdot12}=\dfrac{10}{12}=\dfrac{5}{6}\)
5/6