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a: \(=\dfrac{4+15}{20}\cdot\dfrac{1}{2}=\dfrac{19}{20}\cdot\dfrac{1}{2}=\dfrac{19}{40}\)
b: \(=\dfrac{13}{20}-\dfrac{1}{4}+\dfrac{5}{20}=\dfrac{18}{20}-\dfrac{1}{4}\)
\(=\dfrac{9}{10}-\dfrac{1}{4}=\dfrac{18}{20}-\dfrac{5}{20}=\dfrac{13}{20}\)
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. ( 23 - 21) + ( 19 - 17) + ( 15 - 13) + ( 11 - 9) + ( 7 - 5) + ( 3 - 1)
= 2 + 2 + 2 + 2 + 2 + 2
= 2 x 6
= 12
b. ( 24 - 22 ) + ( 20 - 18 ) + ( 16 - 14 ) + ( 12 - 10) + ( 8 - 6 ) + ( 4 - 2)
= 2 + 2 + 2 + 2 + 2 + 2
= 2 x 6
= 12
\(\dfrac{5}{13}+\dfrac{-5}{17}+\dfrac{-20}{41}+\dfrac{8}{13}+\dfrac{-21}{41}\)
\(=\left(\dfrac{5}{13}+\dfrac{8}{13}\right)+\dfrac{-5}{17}+\left(\dfrac{-20}{41}-\dfrac{21}{41}\right)\)
\(=\dfrac{13}{13}+\dfrac{-5}{17}+\dfrac{-41}{41}\)
\(=1-\dfrac{5}{17}-1\)
\(=-\dfrac{5}{17}\)
\(1+2+3+4+5+6+7+8+9+10=55\)
\(11+12+13+14+15+16+17+18+19+20=155\)
\(\dfrac{13}{20}-\left(\dfrac{1}{4}-\dfrac{5}{20}\right)\)
\(=\dfrac{13}{20}-\dfrac{1}{4}+\dfrac{5}{20}\)
\(=\left(\dfrac{13}{20}+\dfrac{5}{20}\right)-\dfrac{1}{4}\)
\(=\dfrac{18}{20}-\dfrac{1}{4}\)
\(=\dfrac{9}{10}-\dfrac{1}{4}\)
\(=\dfrac{18}{20}-\dfrac{5}{20}\)
\(=\dfrac{18-5}{20}\)
\(=\dfrac{13}{20}\)
=13/20-1/4+5/20
=9/10-1/4
=18/20-5/20
=13/20