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a)15/16:3/8x3/4
=15/16:6/16x12/16
=15/16x16/6x12/16
=15/6x12/16
=30/16=15/8
b)5/11x18/29-5/11x8/29+5/11x19/29
=5/11x(18/29-8/29+19/29)
=5/11x1=5/11
1: \(78+22+18\)
\(=\left(78+22\right)+18\)
=100+18
=118
2: \(94+563+\left(106-563\right)-\left(-70\right)\)
\(=94+563+106-563+70\)
\(=\left(94+106\right)-\left(563-563\right)+70\)
=100-0+70
=170
3: \(25\cdot154-25+47\cdot25\)
\(=25\left(154-1+47\right)\)
\(=25\cdot200=5000\)
4: \(\left[5^{29}+5^{30}\left(16-11\right)\right]:5^{29}\)
\(=\left(5^{29}+5^{30}\cdot5\right):5^{29}\)
\(=\dfrac{5^{29}\cdot1+5^{29}\cdot5^2}{5^{29}}\)
\(=1+5^2=26\)
8: \(25\cdot2^3-\left(9-14\right)+\left(29-34+20\right)\)
\(=25\cdot8-\left(-5\right)+\left(-5\right)+20\)
\(=200+5-5+20\)
=220
1+2+3+4+5+6+7+8+9+10=55
11+12+13+14+15+16+17+18+19+20=155
1+2+3+4+5+6+7+8+9+10+11+12+13+14 +15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30-50-53=362
a: =-9/11+2/3=-27/33+22/33=-5/33
b: =(16/29-13/29)+12/39-16/39
=3/29-4/39=1/1131
d: =(-111,82-8,18)+(13,3+16,7)=-120+30=-90
5/11 . 18/29 - 8/11 . 5/29 + 5/29 . 19/11
=5/11x(5/29+13/29)-8/11 . 5/29 + 5/29 . 19/11
=5/11x5/29+13/29x5/11-8/11x5/29+5/29x19/11
=(5/11x5/29+13/29x5/11)-(8/11x5/29-5/29x19/11)
=5/11x(5/29+13/29)-5/29x(8/11-19/11)
=5/11x18/29-5/29x(-1)
=90/319-(-5/29)=5/11