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we have four lessons today
\(f,1-\dfrac{13}{9}:\dfrac{8}{19}+-\dfrac{11}{9}:\dfrac{8}{19}\)
\(=1-\dfrac{13}{9}.\dfrac{19}{8}+\dfrac{-11}{9}.\dfrac{19}{8}\)
\(=1-\left(\dfrac{13}{9}+\dfrac{-11}{9}\right).\dfrac{19}{8}\)
=\(=1-\dfrac{2}{9}.\dfrac{19}{8}\)
\(=1-\dfrac{19}{36}\)
=\(=\dfrac{17}{36}\)
\(e,\dfrac{3}{7}.\left(\dfrac{13}{8}-\dfrac{7}{9}\right)-\dfrac{5}{8}.\left(\dfrac{3}{7}-\dfrac{8}{15}\right)\)
\(=\dfrac{3}{7}.\dfrac{13}{8}-\dfrac{3}{7}.\dfrac{7}{9}-\dfrac{5}{8}.\dfrac{3}{7}-\dfrac{5}{8}.\dfrac{8}{15}\)
\(=\dfrac{3}{7}.\left(\dfrac{13}{8}-\dfrac{5}{8}\right)-\dfrac{3}{7}.\dfrac{7}{9}-\dfrac{5}{8}.\dfrac{8}{15}\)
\(=\dfrac{3}{7}.1-\dfrac{1}{3}-\dfrac{1}{3}\)
\(=\dfrac{3}{7}-\dfrac{1}{3}+\left(-\dfrac{1}{3}\right)\)
\(=\dfrac{3}{7}-\left[\dfrac{1}{3}+\left(-\dfrac{1}{3}\right)\right]\)
\(=\dfrac{3}{7}-1\)
\(-\dfrac{4}{7}\)
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