3/8 nhân 2 : 2/3
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a) \(\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}\)
\(=1-\frac{1}{4}\)
\(=\frac{3}{4}\)
b) \(\frac{4}{7}\times\frac{8}{9}+\frac{4}{7}\times\frac{1}{9}\)
\(=\frac{4}{7}\times\left(\frac{8}{9}+\frac{1}{9}\right)\)
\(=\frac{4}{7}\times1\)
\(=\frac{4}{7}\)
c) \(\frac{13}{6}\times\frac{3}{8}-\frac{3}{8}\times\frac{7}{6}\)
\(=\frac{3}{8}\times\left(\frac{13}{6}-\frac{7}{6}\right)\)
\(=\frac{3}{8}\times1\)
\(=\frac{3}{8}\)
d) \(\frac{1}{1x2}+\frac{1}{2x3}+\frac{1}{3x4}+...+\frac{1}{9x10}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{9}-\frac{1}{10}\)
\(=1-\frac{1}{10}\)
\(=\frac{9}{10}\)
\(a,\)\(\frac{2^5\times3^{12}\times7^8}{2^7\times3^{10}\times7^9}=\frac{3^2\times\left(2^5\times3^{10}\times7^8\right)}{2^2\times7\times\left(2^5\times3^{10}\times7^8\right)}\)\(=\frac{3^2}{2^2\times7}=\frac{9}{28}\)
\(b,\)Tương tự
8/12 + 9/12 = 17/12
12/15 - 5/15 = 7/15
4 x 8/3 = 32/3
1/8 x 3 = 3/8
5 x 2 = 10
2/5 x 1/4 = 2/20 = 1/10
\(\dfrac{2}{3}+\dfrac{3}{4}=\dfrac{8}{12}+\dfrac{9}{12}=\dfrac{17}{12};\dfrac{4}{5}-\dfrac{1}{3}=\dfrac{12}{15}-\dfrac{5}{15}=\dfrac{7}{15}\\ 4\times\dfrac{8}{3}=\dfrac{32}{3};\dfrac{1}{8}\times3=\dfrac{3}{8}\\ 5:\dfrac{1}{2}=5\times\dfrac{2}{1}=10;\dfrac{2}{5}:4=\dfrac{2}{5}\times\dfrac{1}{4}=\dfrac{2}{20}=\dfrac{1}{10}\)
\(2\cdot8^6\cdot2\cdot8^3\)
\(=2\cdot\left(2^3\right)^6\cdot2\cdot\left(2^3\right)^3\)
\(=2\cdot2^{18}\cdot2\cdot2^9\)
\(=2^{20}\cdot2^9\)
\(=2^{19}\)
\(\dfrac{3}{8}\times2:\dfrac{2}{3}\)
\(=\dfrac{6}{8}:\dfrac{2}{3}\)
\(=\dfrac{6\times3}{8\times2}\)
\(=\dfrac{18}{16}=\dfrac{9}{8}\)
giup minh voi ,minh dang gap