Question

1. Thực hiện các phép tính

a) \(\frac{7}{8}.\frac{4}{9}+\frac{1}{14}:\frac{5}{14}\)

2. Tìm x

a) \(\frac{2}{3}x+\frac{1}{4}x=\frac{-22}{27}\)

Answer 1

Bài 1:

a) Ta có: \(\frac{7}{8}\cdot\frac{4}{9}+\frac{1}{14}:\frac{5}{14}\)

\(=\frac{28}{72}+\frac{1}{14}\cdot\frac{14}{5}\)

\(=\frac{28}{72}+\frac{1}{5}\)

\(=\frac{140}{360}+\frac{72}{360}\)

\(=\frac{212}{360}=\frac{53}{90}\)

Bài 2:

a) Ta có: \(\frac{2}{3}x+\frac{1}{4}x=\frac{-22}{27}\)

\(\Leftrightarrow x\cdot\left(\frac{2}{3}+\frac{1}{4}\right)=\frac{-22}{27}\)

\(\Leftrightarrow x\cdot\frac{11}{12}=\frac{-22}{27}\)

\(\Leftrightarrow x=\frac{-22}{27}:\frac{11}{12}=\frac{-22}{27}\cdot\frac{12}{11}=-\frac{8}{9}\)

Vậy: \(x=\frac{-8}{9}\)