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A=(6-7/6)-(5+1/6)-(3-29/6)
A=29/6-31/6--11/6
A=29-31+11/6
A=9/6=3/2
\(A=\left(6-\frac{2}{3}+\frac{1}{2}\right)-\left(5+\frac{5}{3}-\frac{3}{2}\right)-\left(3-\frac{7}{3}+\frac{5}{2}\right)\)
\(A=\left(\frac{36}{6}-\frac{4}{6}+\frac{3}{6}\right)-\left(\frac{30}{6}+\frac{10}{6}-\frac{9}{6}\right)\)\(-\left(\frac{18}{6}-\frac{14}{6}+\frac{15}{6}\right)\)
\(A=\frac{35}{6}-\frac{31}{6}-\frac{19}{6}=\frac{-15}{6}=\frac{-5}{2}\)
Chúc bạn học tốt!
P/s : Còn nhiều cách nx đấy.
Cách 1:
\(\left(6-\frac{2}{3}+\frac{1}{2}\right)-\left(5+\frac{5}{3}-\frac{3}{2}\right)-\left(3-\frac{7}{3}+\frac{5}{2}\right)\)
=\(\frac{35}{6}-\frac{31}{6}-\frac{19}{6}\)
=\(\frac{35-31-19}{6}\)
=\(-\frac{15}{6}=-\frac{5}{2}\)
Cách 2:
\(\left(6-\frac{2}{3}+\frac{1}{2}\right)-\left(5+\frac{5}{3}-\frac{3}{2}\right)-\left(3-\frac{7}{3}+\frac{5}{2}\right)\)
=\(6-\frac{2}{3}+\frac{1}{2}-5-\frac{5}{3}+\frac{3}{2}-3+\frac{7}{3}-\frac{5}{2}\)
=\(\left(-\frac{2}{3}-\frac{5}{3}+\frac{7}{3}\right)+\left(\frac{1}{2}+\frac{3}{2}-\frac{5}{2}\right)+\left(6-5-3\right)\)
=\(0-\frac{1}{2}-2\)
=\(-\frac{5}{2}\)
3. S= -1/6 + -1/20 + 1/10 + 1/6
=0
4. A= -1 -1 -1 -1 -.... -1 [ có (50-2): 2 +1 = 25 số -1)
=-25
B. 1/3 - 1/3 - 3/5 +3/5 + 5/7 - 5/7 + 9/11 - 9/11 -11/13 + 11/ 13 + 7/9 + 13/15
= 0 -0-0-0-0+7/9 +13/15
= 74/45
1. sai dấu nhé
2.a, \(\frac{45^{10}.5^{20}}{75^{15}}=\frac{\left(3^2.5\right)^{10}.5^{20}}{\left(5^2.3\right)^{15}}=\frac{3^{20}.5^{30}}{5^{30}.3^{15}}=3^5=243\)
b, \(\frac{\left(0,8\right)^5}{\left(0,4\right)^6}=\frac{\left(\frac{4}{5}\right)^5}{\left(\frac{2}{5}\right)^6}=\frac{\left(\frac{2}{5}\cdot2\right)^5}{\left(\frac{2}{5}\right)^6}=\frac{\left(\frac{2}{5}\right)^5\cdot2^5}{\left(\frac{2}{5}\right)^5\cdot\frac{2}{5}}=2^5\div\frac{2}{5}=32\cdot\frac{5}{2}=80\)
c, \(\frac{2^{15}.9^4}{6^6.8^3}=\frac{2^{15}.3^8}{2^6.3^6.2^9}=\frac{2^{15}.3^2}{2^{15}}=3^2=9\)
số cần tìm là :
\(\frac{1}{2}+\frac{3}{28}+\frac{2}{8}+\frac{4}{77}+\frac{5}{176}\)
= \(\frac{1935}{2128}\)
\(\frac{1}{2}+\frac{2}{8}+\frac{3}{28}+\frac{4}{77}+\frac{5}{176}=\frac{15}{16}\)
A= 6 - 2/3 +1/2 -5 -5/3 + 3/2 - 3 + 7/3 -5/2
A = 6- 5 - 3 - 2/3 -5/3 +7/3 +1/2 + 3/2 -5/2
A= -2 +0 - 1/2
A= -5/2
cám ơn nha