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\(\dfrac{15}{12}+\dfrac{5}{13}-\dfrac{3}{12}-\dfrac{18}{13}-\dfrac{1}{3}\)
\(=\left(\dfrac{15}{12}-\dfrac{3}{12}\right)+\left(\dfrac{5}{13}-\dfrac{18}{13}\right)-\dfrac{1}{3}\)
\(=-1+1-\dfrac{1}{3}\)
\(=0-\dfrac{1}{3}\)
\(=\dfrac{-1}{3}\)
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\(14.\dfrac{3}{2}+\dfrac{6}{5}:\left(-\dfrac{2}{5}\right)\)
\(=14.\dfrac{3}{2}+\dfrac{6}{5}.\dfrac{-5}{2}\)
\(=21+\dfrac{6}{5}.\dfrac{-5}{2}\)
\(=21+\left(-3\right)\)
\(=18\)
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\(\sqrt{\dfrac{1}{4}+\dfrac{2}{3}-\left(\dfrac{1}{3}\right)^2}\)
\(=\sqrt{\dfrac{1}{4}+\dfrac{2}{3}-\dfrac{1}{9}}\)
\(=\sqrt{\dfrac{3}{12}+\dfrac{8}{12}-\dfrac{1}{9}}\)
\(=\sqrt{\dfrac{11}{12}-\dfrac{1}{9}}\)
\(=\sqrt{\dfrac{99}{108}-\dfrac{12}{108}}\)
\(=\sqrt{\dfrac{29}{36}}\)
\(=\dfrac{\sqrt{29}}{6}\)
\(\dfrac{15}{12}+\dfrac{5}{13}-\dfrac{3}{12}-\dfrac{18}{13}-\dfrac{1}{3}\)
\(=\dfrac{5}{4}+\dfrac{5}{13}-\dfrac{1}{4}-\dfrac{18}{13}-\dfrac{1}{3}\)
\(=\left(\dfrac{5}{4}-\dfrac{1}{4}\right)+\left(\dfrac{5}{13}-\dfrac{18}{13}\right)-\dfrac{1}{3}\)
\(=1+\left(-1\right)-\dfrac{1}{3}=0-\dfrac{1}{3}=-\dfrac{1}{3}\)
ta có : (ghi lại đề)
=6+12+18+24+30/3+6+9+12+15
=2*(3/3+6/6+9/9+12/12+15/15)
=2*(1+1+1+1+1)
=2*5=10
chúc main học tốt nhé
Tính nhanh
\(6\left(\frac{-2}{3}\right)+12\left(\frac{-2}{3}\right)^2+18\left(\frac{-2}{3}\right)^3\)
\(6\left(\frac{-2}{3}\right)+12\left(\frac{-2}{3}\right)^2+18\left(\frac{-2}{3}\right)^2\)
\(=\frac{-2}{3}\times6\times\left[1+2\left(\frac{-2}{3}\right)+3\left(\frac{-2}{3}\right)\right]\)
\(=-4\times\left[1+\left(\frac{-2}{3}\right)\left(2+3\right)\right]\)
\(=-4\times\left(1+\frac{-10}{3}\right)\)
\(=-4+\frac{40}{3}\)
\(=-\frac{12}{3}+\frac{40}{3}\)
\(=\frac{28}{3}\)
a: =5*1,4-4*1,5+3*1,3
=7-6+3,9=4,9
b: =1/3*7+3/4*18-2/3*20
=7/3+54/4-40/3
=-11+54/4
=2,5
c: =5/6*17-1/2*16+2/5*15
=85/6-8+6
=85/6-2
=73/6
d: =15*4/5+12*3/4-18*4/9
=12+9-8
=12+1=13
\(6.\left(\frac{-2}{3}\right)+12\left(\frac{-2}{3}\right)^2+18.\left(\frac{-2}{3}\right)^3\)
\(=-\frac{2}{3}\left(6+18+12\right).\left(\frac{-2}{3}\right)^2\)
\(=-\frac{2}{3}.36.\frac{4}{9}\)
\(=-\frac{8}{27}.36=\frac{-32}{3}\)