Question

Bài 1: Thực hiện phép tính

a)-9/13 × 12/29 - 9/13 × 17/29 + 24/13

b)(5/3 - 2/11) ÷ 49/33 + (-3/7)^2 -|1/7 - 1/14|

Answer 1

a) \(-\frac{9}{13}.\frac{12}{29}-\frac{9}{13}.\frac{17}{29}+\frac{24}{13}\)

\(=-\frac{9}{13}\left(\frac{12}{29}+\frac{17}{29}\right)+\frac{24}{13}\)

\(=-\frac{9}{13}+\frac{24}{13}=\frac{15}{13}\)

b)\(\left(\frac{5}{3}-\frac{2}{11}\right):\frac{49}{33}+\left(-\frac{3}{7}\right)^2-\left|\frac{1}{7}-\frac{1}{14}\right|\)

\(=\left(\frac{5}{3}-\frac{2}{11}\right).\frac{33}{49}+\frac{9}{49}-\left|\frac{2}{14}-\frac{1}{14}\right|\)

\(=\frac{49}{33}.\frac{33}{49}+\frac{9}{49}-\frac{1}{14}\)

\(=1+\frac{9}{49}-\frac{1}{14}=\frac{49}{49}+\frac{9}{49}-\frac{1}{14}\)

\(=\frac{58}{49}-\frac{1}{14}=\frac{109}{98}\)