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a) \(\left(2\frac{5}{6}+1\frac{4}{9}\right):\left(10\frac{1}{12}-9\frac{1}{2}\right)\)
\(=\left(\frac{17}{6}+\frac{13}{9}\right):\left(\frac{121}{12}-\frac{19}{2}\right)\)
\(=\frac{77}{18}:\frac{7}{12}\)
\(=\frac{22}{3}\)
b) \(1\frac{5}{18}-\frac{5}{18}.\left(\frac{1}{15}+1\frac{1}{12}\right)\)
\(=\frac{23}{18}-\frac{5}{18}.\left(\frac{1}{15}+\frac{13}{12}\right)\)
\(=\frac{23}{18}-\frac{5}{18}.\frac{23}{20}\)
\(=\frac{23}{18}-\frac{23}{72}\)
\(=\frac{23}{24}\)
c) \(-1\frac{1}{7}.\left(9\frac{1}{2}-8,75\right):\frac{2}{7}+0,625:1\frac{2}{3}\)
\(=\frac{-8}{7}.\left(\frac{19}{2}-\frac{35}{4}\right):\frac{2}{7}+\frac{5}{8}:\frac{5}{3}\)
\(=\frac{-8}{7}.\frac{3}{4}:\frac{2}{7}+\frac{3}{8}\)
\(=\frac{-8}{7}.\frac{3}{4}.\frac{7}{2}+\frac{3}{8}\)
\(=-3+\frac{3}{8}\)
\(=\frac{-21}{8}\)
Chúc bn học tốt !!
Bài 6:
a) Ta có: \(A=-\frac{7}{12}+\left(1+\frac{1}{3}\right)\)
\(=-\frac{7}{12}+\frac{4}{3}\)
\(=-\frac{7}{12}+\frac{16}{12}\)
\(=\frac{9}{12}=\frac{3}{4}\)
b) Ta có: \(B=\frac{2}{15}+\left(\frac{5}{9}+\frac{-6}{9}\right)\)
\(=\frac{2}{15}-\frac{1}{9}\)
\(=\frac{6}{45}-\frac{5}{45}=\frac{1}{45}\)
c) Ta có: \(C=\left(-\frac{1}{5}+\frac{3}{12}\right)+\frac{-3}{4}\)
\(=\frac{-1}{5}+\frac{3}{12}+\frac{-3}{4}\)
\(=\frac{-12}{60}+\frac{15}{60}+\frac{-45}{60}\)
\(=\frac{-42}{60}=\frac{-7}{10}\)