Question

Tính một cách hợp lí:

a) A = \(\frac{9}{11}+\frac{5}{7}-\frac{20}{11}+\frac{8}{13}+\frac{2}{7}\)               b) \(B=\frac{8}{13}+\frac{9}{-17}+\frac{-34}{13}+\frac{-8}{17}\)

Answer 1

\(\text{a)}A=\frac{9}{11}+\frac{5}{7}-\frac{20}{11}+\frac{8}{13}+\frac{2}{7}\)

  \(A=\frac{9}{11}+\frac{5}{7}+\frac{-20}{11}+\frac{8}{13}+\frac{2}{7}\)

  \(A=\left(\frac{9}{11}+\frac{-20}{11}\right)+\left(\frac{5}{7}+\frac{2}{7}\right)+\frac{8}{13}\)

  \(A=\frac{-11}{11}+\frac{7}{7}+\frac{8}{13}\)

  \(A=\left[\left(-1\right)+1\right]+\frac{8}{13}\)

\(A=0+\frac{8}{13}=\frac{8}{13}\)

\(\text{b)}B=\frac{8}{13}+\frac{9}{-17}+\frac{-34}{13}+\frac{-8}{17}\)

   \(B=\left(\frac{8}{13}+\frac{-34}{13}\right)+\left(\frac{-9}{17}+\frac{-8}{17}\right)\)

   \(B=\frac{-26}{13}+\left(-1\right)\)

   \(B=\left(-2\right)+\left(-1\right)=-3\)

\(\text{Hok tốt!}\)

\(\text{@Kaito Kid}\)