- \(\dfrac{3}{4}\).(-\(\dfrac{55}{9}\)).\(\dfrac{8}{11}\)
= \(\dfrac{3.5.11.4.2}{4.3.3.11}\)
= \(\dfrac{10}{3}\)
1\(\dfrac{4}{23}\) + (\(\dfrac{5}{21}\) - \(\dfrac{4}{23}\)) + \(\dfrac{16}{21}\) - \(\dfrac{1}{2}\)
= 1 + \(\dfrac{4}{23}\) + \(\dfrac{5}{21}\) - \(\dfrac{4}{23}\) + \(\dfrac{16}{21}\) - \(\dfrac{1}{2}\)
= 1 + (\(\dfrac{4}{23}\) - \(\dfrac{4}{23}\)) + (\(\dfrac{5}{21}\) + \(\dfrac{16}{21}\)) - \(\dfrac{1}{2}\)
= 1 + 0 + 1 - \(\dfrac{1}{2}\)
= 2 - \(\dfrac{1}{2}\)
= \(\dfrac{3}{2}\)
- \(\dfrac{3}{8}\).\(\dfrac{6}{13}\) + \(\dfrac{7}{13}\). (-\(\dfrac{3}{8}\)) + 1\(\dfrac{3}{8}\)
= -\(\dfrac{3}{8}\).(\(\dfrac{6}{13}\) + \(\dfrac{7}{13}\)) + 1 + \(\dfrac{3}{8}\)
= - \(\dfrac{3}{8}\) + 1 + \(\dfrac{3}{8}\)
= (-\(\dfrac{3}{8}\) + \(\dfrac{3}{8}\)) + 1
= 0 + 1
= 1
75% - (\(\dfrac{5}{2}\) + \(\dfrac{5}{3}\)) + (\(-\dfrac{1}{2}\))2
= \(\dfrac{3}{4}\) - \(\dfrac{25}{6}\) + \(\dfrac{1}{4}\)
= (\(\dfrac{3}{4}\) + \(\dfrac{1}{4}\)) - \(\dfrac{25}{6}\)
= 1 - \(\dfrac{25}{6}\)
= - \(\dfrac{19}{6}\)