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\(E=\frac{2^2}{1.3}.\frac{3^2}{2.4}.\frac{4^2}{3.5}.\frac{5^2}{4.6}...\frac{9^2}{8.10}=\frac{\left(2.3.4...9\right)^2}{1.2.\left(3.4...8\right)^2.9.10}=\frac{2^2.9^2}{1.2.9.10}=\frac{18}{10}=\frac{9}{5}\)
24 : 8 = 3
16 : 8 = 2
56 : 8 = 7
80 : 8 = 10
40 : 8 = 5
48 : 8 = 6
64 : 8 = 8
48 : 6 = 8
32 : 8 = 4
8 : 8 = 1
72 : 8 = 9
56 : 7 = 8
24 : 8 =3
16 : 8 = 2
56 : 8 = 7
80 : 8 = 10
40 : 8 = 5
48 : 8 = 6
64 : 8 = 8
48 : 6 = 8
32 : 8 = 4
8 : 8 = 1
72 : 8 = 9
56 : 7 = 8
a) $\frac{1}{6} \times \frac{2}{3} = \frac{{1 \times 2}}{{6 \times 3}} = \frac{2}{{18}} = \frac{1}{9}$
b) $\frac{6}{5} \times \frac{3}{8} = \frac{{6 \times 3}}{{5 \times 8}} = \frac{{18}}{{40}} = \frac{9}{{20}}$
c) $\frac{4}{3} \times \frac{8}{9} = \frac{{4 \times 8}}{{3 \times 9}} = \frac{{32}}{{27}}$
d) $\frac{5}{{12}} \times \frac{{12}}{5} = \frac{{5 \times 12}}{{12 \times 5}} = \frac{{60}}{{60}} = 1$
a) $\frac{1}{6} \times ...... = \frac{1}{6}$
$\frac{1}{6}:\frac{1}{6} = 1$
b) $......\, \times \frac{4}{7} = 0$
$0:\frac{4}{7} = 0$
c) $\frac{5}{8}:...... = \frac{5}{8}$
$\frac{5}{8}:\frac{5}{8} = 1$
Gọi tổng trên là A
\(A=\frac{1}{2}\times\frac{1}{5}+\frac{1}{5}\times\frac{1}{8}+\frac{1}{8}\times\frac{1}{11}+\frac{1}{11}\times\frac{1}{14}\)
\(3A=\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+\frac{1}{11}-\frac{1}{14}\)
\(3A=\frac{1}{2}-\frac{1}{14}=\frac{7}{14}-\frac{1}{14}\)
\(3A=\frac{3}{7}\)
\(A=\frac{3}{7}:3\)
\(A=\frac{1}{7}\)
\(=\frac{1x2x3x...x30x31}{2^{31}x\left(2x3x4x...x31x32\right)}=\frac{1}{2^{31}x32}=\frac{1}{2^{36}}\)
16 : 8 = 2 32 : 8 = 4 80 : 8 = 10 48 : 8 = 6
24 : 8 = 3 56 : 8 = 7 40 : 8 = 5 8 : 8 = 1
64 : 8 = 8 72 : 8 = 9
8 : 8 = 1 16 : 8 = 2 24 : 8 = 3 32 : 8 = 4 40 : 8 = 5 48 : 8 = 6 56 : 8 = 7 64 : 8 = 8 72 : 8 = 9 80 : 8 = 10
8 : 8 = 1
16 : 8 = 2
24 : 8 = 3
32 : 8 = 4
40 : 8 = 5
48 : 8 = 6
56 : 8 = 7
64 : 8 = 8
72 : 8 = 9
80 : 8 = 10