18/27+12/16+20/25+1/3+1/4+1/5 tính
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\(\frac{5}{15}+\frac{3}{12}+\frac{4}{20}+\frac{18}{27}+\frac{12}{16}+\frac{30}{25}\)
\(=\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{2}{3}+\frac{3}{4}+\frac{4}{5}\)
\(=\left(\frac{1}{3}+\frac{2}{3}\right)+\left(\frac{1}{4}+\frac{3}{4}\right)+\left(\frac{1}{5}+\frac{4}{5}\right)\)
\(=1+1+1\)
\(=3\)

\(\frac{5}{15}+\frac{3}{15}+\frac{4}{20}+\frac{18}{27}+\frac{12}{16}+\frac{20}{25}\\ =\frac{1}{3}+\frac{1}{5}+\frac{1}{5}+\frac{2}{3}+\frac{3}{4}+\frac{4}{5}\\ \)
\(=\left(\frac{1}{3}+\frac{2}{3}\right)+\left(\frac{1}{5}+\frac{1}{5}+\frac{4}{5}\right)+\frac{3}{4}\\ =1+\frac{5}{6}+\frac{3}{4}=2\frac{7}{12}=\frac{31}{12}\)
#Châu's ngốc
Tính nhanh
19 + 18 + 17 + 16 + 14 + 21 + 22 + 23 + 24 + 25 + 26
1/3 + 1/4 + 1/5 + 4/6 + 9/12 + 16/20

\(19+18+17+16+14+21+22+23+24+25+26\)
\(=\left(19+21\right)+\left(18+22\right)+\left(17+23\right)+\left(16+24\right)+\left(14+26\right)+25\)
\(=30+30+30+30+30+25\)
\(=175\)
\(\dfrac{1}{3}+\dfrac{1}{4}+\dfrac{1}{5}+\dfrac{4}{6}+\dfrac{9}{12}+\dfrac{16}{20}\)
\(=\dfrac{1}{3}+\dfrac{1}{4}+\dfrac{1}{5}+\dfrac{2}{3}+\dfrac{3}{4}+\dfrac{4}{5}\)
\(=\left(\dfrac{1}{3}+\dfrac{2}{3}\right)+\left(\dfrac{1}{4}+\dfrac{3}{4}\right)+\left(\dfrac{1}{5}+\dfrac{4}{5}\right)\)
\(\text{=}1+1+1\)
\(\text{=}3\)

a: \(=3\sqrt{3}-2\sqrt{3}+4\sqrt{3}-5\sqrt{3}=2\sqrt{3}\)

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
=(1 + 19) + (2 +18) + (3 + 27) + (4 + 26) + (5 + 25) + (6 + 24) + (7 + 23) + (8 + 22) + (9 + 21) + (10 + 20) + (11 +19) + (12 + 18) + (13 + 17) + (14 + 16)
=20 + 20 + 30 + 30 + 30 + 30 + 30 + 30 + 30 + 30 + 30 + 30 + 30 + 15
=40 + 330 + 15
=381

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

Ta gọi tổng này là S
Số số hạng tổng trên có là : 28 - 1 +1 = 28(số hạng )
28 + 27 + 26 + 25 +.......+ 3 + 2 + 1
S=1 + 2 + 3 +..........+ 26 + 27 + 28
2S=(28 + 1) + ( 27 + 2 ) + ( 26 + 3 ) +.........+ ( 3 + 26 ) + ( 2 + 27 ) + ( 1 + 28)
2S= 30 + 30 + 30 + ......... + 30 + 30 + 30
S=30 x 28 : 2 = 420.
\(\frac{18}{27}+\frac{12}{16}+\frac{20}{25}+\frac13+\frac14+\frac15\)
\(=\frac23+\frac34+\frac45+\frac13+\frac14+\frac15\)
\(=\left(\frac23+\frac13\right)+\left(\frac34+\frac14\right)+\left(\frac45+\frac15\right)\)
\(=1+1+1=3\)
A = \(\frac{18}{27}\) + \(\frac{12}{16}\) + \(\frac{20}{25}\) + \(\frac13\) + \(\frac14\) + \(\frac15\)
A = \(\frac23\) + \(\frac34\) + \(\frac45\) + \(\frac13\) + \(\frac14\) + \(\frac15\)
A = (\(\frac23\) + \(\frac13\)) + (\(\frac45\) + \(\frac15\)) + (\(\frac34\) + \(\frac14\))
A = 1 + 1+ 1
A = 2 + 1
A = 3