Question

[Nguyễn Tuấn Khanh]

1, Tính giá trị các biểu thức sau một cách hợp lí:

a) C = \(\frac{4}{7}.\frac{3}{5}.\frac{7}{4}.\left(-20\right).\frac{5}{6}\)

b) D = \(\left(\frac{81}{121}+\frac{4}{45}-\frac{25}{113}\right).\left(\frac{1}{2}—\frac{1}{3}-\frac{1}{6}\right)\)

2, Tính:

B = \(\frac{2^2}{3}.\frac{3^2}{8}.\frac{4^2}{15}.\frac{5^2}{24}.\frac{6^2}{35}.\frac{7^2}{48}.\frac{8^2}{63}.\frac{9^2}{80}\)

Mọi người giúp e vs ạ, e đg cần gấp. Help me!!!

Answer 1

[Trúc Giang]

1/

a) \(C=\frac{4}{7}.\frac{3}{5}.\frac{7}{4}.\left(-20\right).\frac{5}{6}\)

\(=\left(\frac{4}{7}.\frac{7}{4}\right).\left(\frac{3}{5}.\frac{5}{6}\right).\left(-20\right)\)

\(=\frac{1}{2}.\left(-20\right)\)

\(=-10\)

2/ \(B=\frac{2^2}{3}.\frac{3^2}{8}.\frac{4^2}{15}.\frac{5^2}{24}.\frac{6^2}{35}.\frac{7^2}{48}.\frac{8^2}{63}.\frac{9^2}{80}\)

\(=\frac{2.2}{1.3}.\frac{3.3}{2.4}.\frac{4.4}{3.5}.\frac{5.5}{4.6}.\frac{6.6}{5.7}.\frac{7.7}{6.8}.\frac{8.8}{7.9}.\frac{9.9}{8.10}\)

\(=\frac{2.3.4.5.6.7.8.9}{1.2.3.4.5.6.7.8}.\frac{2.3.4.5.6.7.8.9}{3.4.5.6.7.8.9.10}\)

\(=9.\frac{2}{10}=9.\frac{1}{5}=\frac{9}{5}\)