a,4/9 + 12/13 + 10/18 + 1/13
b,15/11 × 4/19 + 4/19 × 3/11 - 7/11 × 4/19
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a: =35/17-18/17-9/5+4/5
=1-1=0
b: =-7/19(3/17+8/11-1)
=7/19*18/187=126/3553
c: =26/15-11/15-17/3-6/13
=1-6/13-17/3
=7/13-17/3=-200/39
M = { 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18+ 19 + 20 }
M = 210.
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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
=(1+19)+(2+18)+(3+17)+(4+16)+(5+15)+(6+14)+(7+13)+(8+12)+(9+11)+10+20
=20x10+10
=210
a, 4/9 + 12/13 + 10/18 + 1/13
= (4/9 + 10/18) + (12/13 + 1/13)
= 1 + 1
= 2
b, 15/11 × 4/19 + 4/19 × 3/11 - 7/11 × 4/19
= 4/19 x (15/11 + 3/11 - 7/11)
= 4/19 x 1
= 4/19
a) \(\dfrac{4}{9}+\dfrac{12}{13}+\dfrac{10}{18}+\dfrac{1}{13}\)
\(=\left(\dfrac{4}{9}+\dfrac{10}{18}\right)+\left(\dfrac{12}{13}+\dfrac{1}{13}\right)\)
\(=1+1=2\)
b) \(\dfrac{15}{11}.\dfrac{4}{19}+\dfrac{4}{19}.\dfrac{3}{11}-\dfrac{7}{11}.\dfrac{4}{19}\)
\(=\dfrac{4}{19}.\left(\dfrac{15}{11}+\dfrac{3}{11}-\dfrac{7}{11}\right)=\dfrac{4}{19}.1=\dfrac{4}{19}\)