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A= a .1/2+a .1/3-a .1/4 với a=-4/5
A=a.(1/2+1/3-1/4)
A=-4/5.(6/12+4/12-3/12)
A=-4/5 . 7/12
A=\(\frac{-7}{15}\)
Ta có:
\(A=a\cdot\frac{1}{2}+a\cdot\frac{1}{3}+a\cdot\frac{1}{4}\)
Thay \(a=-\frac{4}{5}\)vào A ta được:
\(A=-\frac{4}{5}\cdot\frac{1}{2}-\frac{4}{5}\cdot\frac{1}{3}-\frac{4}{5}\cdot\frac{1}{4}\)
\(A=-\frac{4}{5}\cdot\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}\right)\)
\(A=-\frac{4}{5}\cdot\left(\frac{12}{24}+\frac{8}{24}+\frac{6}{24}\right)\)
\(A=-\frac{4}{5}\cdot\frac{13}{12}\)
\(A=-\frac{13}{15}\)
Vậy \(A=-\frac{13}{15}\)
a) `A=a. 1/3 + a. 1/4 - a.1/6 = a. (1/3+1/4 -1/6)=a. 5/12`
Thay `a=-3/5: A=-3/5 . 5/12 =-1/4`
b) `B=b. 5/6+ b. 3/4-b. 1/2=b.(5/6+3/4-1/2)=b. 13/12`
Thay `b=12/13: B=12/13 . 13/12=1`.
a) Ta có: \(A=a\cdot\dfrac{1}{3}+a\cdot\dfrac{1}{4}-a\cdot\dfrac{1}{6}\)
\(=a\left(\dfrac{1}{3}+\dfrac{1}{4}-\dfrac{1}{6}\right)\)
\(=a\cdot\left(\dfrac{4}{12}+\dfrac{3}{12}-\dfrac{2}{12}\right)\)
\(=a\cdot\dfrac{5}{12}\)
\(=\dfrac{-3}{5}\cdot\dfrac{5}{12}=\dfrac{-1}{4}\)
b) Ta có: \(B=b\cdot\dfrac{5}{6}+b\cdot\dfrac{3}{4}-b\cdot\dfrac{1}{2}\)
\(=b\left(\dfrac{5}{6}+\dfrac{3}{4}-\dfrac{1}{2}\right)\)
\(=b\cdot\left(\dfrac{10}{12}+\dfrac{9}{12}-\dfrac{4}{12}\right)\)
\(=b\cdot\dfrac{5}{4}\)
\(=\dfrac{12}{13}\cdot\dfrac{5}{4}=\dfrac{60}{52}=\dfrac{15}{13}\)
\(A=\frac{1}{2}.\frac{1}{3}+\frac{1}{3}.\frac{1}{4}+\frac{1}{4}.\frac{1}{5}+..........+\frac{1}{8}.\frac{1}{9}=\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+......+\frac{1}{8.9}=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-.......+\frac{1}{8}-\frac{1}{9}=\frac{1}{2}-\frac{1}{9}=\frac{7}{18}\)
\(B=\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+....+\frac{1}{110}=\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+.....+\frac{1}{10.11}=\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-.....+\frac{1}{10}-\frac{1}{11}=\frac{1}{4}-\frac{1}{11}=\frac{7}{44}\)
\(\text{c,d cơ bản tự làm nha }\)
A=>1.1/2.3+1.1/3.4+1.1/4.5+1.1/5.6+1.11/6.7+.1/7.8+1.1/8.9
=>1/2.3+1/3.4+1/4.5+1/6.7+1/7.8+1/8.9
=>1/2-1/3-1/4-1/5-1/6-1/7-1/8-1/9
=>1/2-1/9=>9/18-2/18=>7/18
Vậy A= 7/18
Khi a=-4/5
= > A=-4/5.1/2+(-4/5).1/3+(-4/5).1/4
A=-4/5.(1/2+1/3-1/4)
A=-4/5.7/12
A=-7/15
Các bài còn lai tương tự
A=-4/5.(1/2+1/3)
A=-4/5.(3/6+2/6)
A=-4/5.5/6
A=-4/6=-2/3
\(A=a\cdot\frac{1}{2}+a\cdot\frac{1}{3}=a\cdot\left(\frac{1}{2}+\frac{1}{3}\right)\)
\(=a\cdot\frac{5}{6}\)
với \(a=-\frac{4}{5}\)
\(=>-\frac{4}{5}\cdot\frac{5}{6}=-\frac{2}{3}\)