Question

3. Thực hiện phép tính sau đây

a.\(\dfrac{4}{3}-\left\{\left(6-\dfrac{-11}{6}\right)-\left(\dfrac{2}{9}+\dfrac{5}{3}\right)\right\}\)

b.\(0.5+\dfrac{1}{3}+0,4+\dfrac{5}{7}+\dfrac{1}{6}-\dfrac{1}{35}\)

Answer 1

a) \(\dfrac{4}{3}-\left\{\left(6-\dfrac{-11}{6}\right)-\left(\dfrac{2}{9}+\dfrac{5}{3}\right)\right\}\)

\(=\dfrac{4}{3}-\left\{\dfrac{47}{6}-\dfrac{17}{9}\right\}\)

\(=\dfrac{4}{3}-\dfrac{107}{18}\)

\(=\dfrac{-83}{18}\)

b)\(0,5+\dfrac{1}{3}+0,4+\dfrac{5}{7}+\dfrac{1}{6}-\dfrac{1}{35}\)

\(=\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{2}{5}+\dfrac{5}{7}+\dfrac{1}{6}-\dfrac{1}{35}\)

\(=\left(\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{6}\right)+\left(\dfrac{1}{5}+\dfrac{5}{7}-\dfrac{1}{35}\right)\)

\(=1+\dfrac{11}{35}\)

\(=\dfrac{46}{35}\)