Question

c) \(\left(6-\dfrac{14}{5}\right)\cdot\dfrac{25}{8}-\dfrac{18}{5}\cdot\dfrac{1}{4}\)

Answer 1

\(\left(6-\dfrac{14}{5}\right).\dfrac{25}{8}-\dfrac{18}{5}.\dfrac{1}{4}\)

\(=\left(\dfrac{30}{5}-\dfrac{14}{5}\right).\dfrac{25}{8}-\dfrac{18}{5}.\dfrac{1}{4}\)

\(=\dfrac{16}{5}.\dfrac{25}{8}-\dfrac{18}{20}\)

\(=\dfrac{16.25}{5.8}-\dfrac{18}{20}\)

\(=\dfrac{2.5}{1}-\dfrac{9}{10}\)

\(=10-\dfrac{9}{10}\)

\(=\dfrac{100}{10}-\dfrac{9}{10}\)

\(=\dfrac{91}{10}=9\dfrac{1}{10}\)

Answer 2

\(\left(6-\dfrac{14}{5}\right)\) . \(\dfrac{25}{8}\) - \(\dfrac{18}{5}\) . \(\dfrac{1}{4}\)

=\(\left(\dfrac{30}{5}-\dfrac{14}{5}\right)\) . \(\dfrac{25}{8}\) - \(\dfrac{18}{5}\) .\(\dfrac{1}{4}\)

= \(\dfrac{16}{5}\) . \(\dfrac{25}{8}\) - \(\dfrac{9}{10}\)

= \(\dfrac{16.25}{5.8}\) - \(\dfrac{9}{10}\)

= \(\dfrac{2.5}{1}\) - \(\dfrac{9}{10}\)

= 10 -\(\dfrac{9}{10}\)

= \(\dfrac{100}{10}\) - \(\dfrac{9}{10}\)

= \(\dfrac{91}{10}\) = 9,1