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\(\frac{3}{1\times2}+\frac{3}{2\times3}+...+\frac{3}{5\times6}\)
\(=3\left(\frac{1}{1\times2}+\frac{1}{2\times3}+...+\frac{1}{5\times6}\right)\)
\(=3\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{5}-\frac{1}{6}\right)\)
\(=3\left(1-\frac{1}{6}\right)=3\times\frac{5}{6}=\frac{5}{2}\)
[4\(\dfrac{1}{5}\) - 2\(\dfrac{2}{5}\)] x 8\(\dfrac{5}{6}\)
= [\(\dfrac{21}{5}\) - \(\dfrac{12}{5}\)] x \(\dfrac{53}{6}\)
= \(\dfrac{9}{5}\) x \(\dfrac{53}{6}\)
= \(\dfrac{159}{10}\)
[5\(\dfrac{1}{3}\) - 2\(\dfrac{2}{3}\)]: \(\dfrac{3}{7}\)
= [\(\dfrac{16}{3}\) - \(\dfrac{8}{3}\)]: \(\dfrac{3}{7}\)
= \(\dfrac{8}{3}\) : \(\dfrac{3}{7}\)
= \(\dfrac{56}{9}\)
1/2-1/2*1/2=1/2-1/4=1/2
3/2+2/3:3/2=3/2+2/3*2/3=3/2+4/9=27/18+8/18=35/18
4/5*5/6:2/3=2/3:2/3=1
4/5:5/6*2/3=4/5*6/5*2/3=24/25*2/3=16/25
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#Hok_tốt
3/1*2 + 3/2*3 + 3/3*4 + 3/4*5 + 3/5*6
= 3 * ( 1/1*2 + 1/2*3 + 1/3*4 + 1/4*5 + 1/5*6 )
= 3 * (1/1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + 1/5 - 1/5 - 1/6)
= 3 * (1/1 - 1/6)
= 3 * 5/6
= 5/2
HOK TỐT
số đó là
5*289+4*289+3*289+2*289+289=4335
tích là
4335*1*2*3*4*5*6*7*8*9*10*11=173039328000
tích 1 là như cũ
tích 2 là 8670
tích 3 là 13005
tích 4 là 17340
còn lại tự tính
\(\frac{3}{4}\times\frac{2}{5}+\frac{3}{4}\times\frac{3}{5}\)
\(=\frac{3}{4}\times\left(\frac{2}{5}+\frac{3}{5}\right)\)
\(=\frac{3}{4}\times1\)
\(=\frac{3}{4}\)
Bài 1:
a, 3\(\dfrac{2}{5}\) - \(\dfrac{1}{2}\)
= \(\dfrac{17}{5}\) - \(\dfrac{1}{2}\)
= \(\dfrac{34}{10}\) - \(\dfrac{5}{10}\)
= \(\dfrac{29}{10}\)
b, \(\dfrac{4}{5}\) + \(\dfrac{1}{5}\) x \(\dfrac{3}{4}\)
= \(\dfrac{4\times4}{5\times4}\) + \(\dfrac{1\times3}{5\times4}\)
= \(\dfrac{16}{20}\) + \(\dfrac{3}{20}\)
= \(\dfrac{19}{20}\)
c, 4\(\dfrac{4}{9}\) : 2\(\dfrac{2}{3}\) + 3\(\dfrac{1}{6}\)
= \(\dfrac{40}{9}\) : \(\dfrac{8}{3}\) + \(\dfrac{19}{6}\)
= \(\dfrac{5}{3}\) + \(\dfrac{19}{6}\)
= \(\dfrac{10}{6}\) + \(\dfrac{19}{6}\)
= \(\dfrac{29}{6}\)
Bài 2:
3\(\dfrac{2}{5}\) + 2\(\dfrac{1}{5}\)
= \(\dfrac{17}{5}\) + \(\dfrac{11}{5}\)
= \(\dfrac{28}{5}\)
b, 7\(\dfrac{1}{6}\) : 5\(\dfrac{2}{3}\)
= \(\dfrac{43}{6}\) : \(\dfrac{17}{3}\)
= \(\dfrac{43}{34}\)
= \(\frac{45+40-36}{60}=\frac{49}{60}\)
xin tiick
Chắc là 49/60.