Question

BT1: Tính nhanh

2) \(\left(7-\dfrac{4}{3}+\dfrac{1}{3}\right)-\left(6+\dfrac{5}{4}-\dfrac{4}{3}\right)-\left(5-\dfrac{7}{4}+\dfrac{5}{3}\right)\)

Answer 1

\(=7-\dfrac{4}{3}+\dfrac{1}{3}-6-\dfrac{5}{4}+\dfrac{4}{3}-5+\dfrac{7}{4}-\dfrac{5}{3}\)

\(=\left(7-6-5\right)-\left(\dfrac{4}{3}-\dfrac{4}{3}+\dfrac{5}{3}-\dfrac{1}{3}\right)-\left(\dfrac{5}{4}-\dfrac{7}{4}\right)\)

\(=-4-\dfrac{4}{3}-\left(\dfrac{-1}{2}\right)\)

\(=-4-\dfrac{4}{3}+\dfrac{1}{2}\)

\(=-\dfrac{24}{6}-\dfrac{8}{6}+\dfrac{3}{6}\)

\(=-\dfrac{32}{6}+\dfrac{3}{6}\)

\(=-\dfrac{29}{6}\)