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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
\(a,\dfrac{3}{4}+\dfrac{-5}{24}=\dfrac{3\times6}{24}+\dfrac{-5}{24}=\dfrac{18}{24}-\dfrac{5}{24}=\dfrac{13}{24}\\ b,\dfrac{-3}{5}+\dfrac{1}{15}=\dfrac{-3\times3}{15}+\dfrac{1}{15}=\dfrac{-9}{15}+\dfrac{1}{15}=-\dfrac{8}{15}\\ c,\dfrac{-5}{6}+\dfrac{1}{12}=\dfrac{-5\times2}{12}+\dfrac{1}{12}=\dfrac{-10}{12}+\dfrac{1}{12}=-\dfrac{9}{12}=-\dfrac{3}{4}\)
a, \(\dfrac{3}{4}+\dfrac{-5}{24}=\dfrac{18}{24}+\dfrac{-5}{24}=\dfrac{13}{24}\)
b, \(\dfrac{-3}{5}+\dfrac{1}{15}=\dfrac{-9}{15}+\dfrac{1}{15}=\dfrac{-8}{15}\)
c, \(\dfrac{-5}{6}+\dfrac{1}{12}=\dfrac{-10}{12}+\dfrac{1}{12}=\dfrac{-9}{12}=\dfrac{-3}{4}\)
a) Ta có : \(\dfrac{a}{2}=\dfrac{b}{3}=\dfrac{c}{4}\)
\(\Rightarrow\dfrac{a}{2}=\dfrac{2b}{6}=\dfrac{3c}{12}=\dfrac{a+2b+3c}{2+6+12}=\dfrac{-20}{20}=-1\)
\(\Rightarrow\left\{{}\begin{matrix}a=\left(-1\right)\cdot2=-2\\b=\dfrac{\left(-1\right).6}{2}=-3\\c=\dfrac{\left(-1\right).12}{3}=-4\end{matrix}\right.\)
b) Ta có : \(S=\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+...+\dfrac{1}{9900}\)
\(=\dfrac{1}{1.2}+\dfrac{1}{2.3}+\dfrac{1}{3.4}+...+\dfrac{1}{99.100}\)
\(=1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{99}-\dfrac{1}{100}\)
\(=1-\dfrac{1}{100}=\dfrac{99}{100}\).
Vậy : \(S=\dfrac{99}{100}.\)
a)\(\dfrac{a}{2}=\dfrac{2b}{6}=\dfrac{3c}{12}=\dfrac{a+2b+3c}{2+6+12}=-\dfrac{20}{20}=-1\)
\(\left\{{}\begin{matrix}\dfrac{a}{2}=-1\Leftrightarrow a=-2\\\dfrac{b}{3}=-1\Leftrightarrow b=-3\\\dfrac{c}{4}=-1\Leftrightarrow c=-4\end{matrix}\right.\)
b)\(S=\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+...+\dfrac{1}{9900}\\ =\dfrac{1}{1.2}+\dfrac{1}{2.3}+\dfrac{1}{3.4}+...+\dfrac{1}{99.100}\\ =\dfrac{1}{1}-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+...+\dfrac{1}{99}-\dfrac{1}{100}\\ =1-\dfrac{1}{100}=\dfrac{99}{100}\)
1.
Áp dụng tính chất dãy tỉ số bằng nhau:
$\frac{a}{2}=\frac{b}{3}=\frac{c}{4}$
$=\frac{a}{2}=\frac{2b}{6}=\frac{3c}{12}=\frac{a+2b+3c}{2+6+12}=\frac{-20}{20}=-1$
$\Rightarrow a=2(-1)=-2; b=3(-1)=-3; c=4(-1)=-4$
2.
$S=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+....+\frac{1}{9900}$
$=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+....+\frac{1}{99.100}$
$=\frac{2-1}{1.2}+\frac{3-2}{2.3}+\frac{4-3}{3.4}+....+\frac{100-99}{99.100}$
$=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{99}-\frac{1}{100}$
$=1-\frac{1}{100}=\frac{99}{100}$
a: =-15/24-18/24+60/24
=27/24=9/8
b: =6/12-9/12-10/12-7/12=-20/12=-5/3
c: =17/2+3/7-5/3=305/42
c: =-3-2/3-10/9-25/3-5/6
=-10-19/9-5/6
=-180/18-38/18-15/18=-233/18
Đáp án : A
k minh minh tra loi nhanh nhat . ket ban voi minh nhe
\(\frac{35}{x}=\frac{15}{12}\Leftrightarrow x=35.12:15=28\)
\(-\frac{2,6}{x}=-\frac{12}{42}\Leftrightarrow\frac{-2,6}{x}=-\frac{2}{7}\Leftrightarrow x=-2,6.7:\left(-2\right)=\frac{91}{10}\)
\(\frac{125}{10}=\frac{x}{45}\Leftrightarrow x=125.45:10=562,5\)
\(\frac{x^2}{6}=\frac{24}{25}\Leftrightarrow x^2=6.24:25=\frac{144}{25}\Leftrightarrow x=\sqrt{\frac{144}{25}}\Leftrightarrow x=\frac{12}{5}\)
1; \(\dfrac{35}{x}\) = \(\dfrac{15}{12}\) (\(x\ne\) 0)
⇒ \(x\) = 35 : \(\dfrac{15}{12}\)
⇒ \(x\) = 28
Vậy \(x=28\)
a: \(12\cdot25=15\cdot20\)
=>\(\dfrac{12}{15}=\dfrac{20}{25};\dfrac{12}{20}=\dfrac{15}{25};\dfrac{15}{12}=\dfrac{25}{20};\dfrac{20}{12}=\dfrac{25}{15}\)
b: \(3\cdot\left(-24\right)=6\cdot\left(-12\right)\)
=>\(\dfrac{3}{6}=\dfrac{-12}{-24};\dfrac{3}{-12}=\dfrac{6}{-24};\dfrac{6}{3}=\dfrac{-24}{-12};\dfrac{-12}{3}=\dfrac{-24}{6}\)
c: \(2,5\cdot3,5=7\cdot1,25\)
=>\(\dfrac{2.5}{7}=\dfrac{1.25}{3.5};\dfrac{2.5}{1.25}=\dfrac{7}{3.5};\dfrac{7}{2.5}=\dfrac{3.5}{1.25};\dfrac{1.25}{2.5}=\dfrac{3.5}{7}\)