\(\dfrac{1}{3}\times\dfrac{3}{5}\times\dfrac{5}{9}\)
\(=\dfrac{1\times3\times5}{3\times5\times9}=\dfrac{1\times1\times1}{1\times1\times9}=\dfrac{1}{9}\)
\(\dfrac{15}{16}:\dfrac{3}{8}\times\dfrac{3}{4}\)
\(=\dfrac{15}{16}\times\dfrac{8}{3}\times\dfrac{3}{4}\)
\(=\dfrac{15\times8\times3}{16\times3\times4}\)
\(=\dfrac{15\times1\times1}{8\times1\times1}\)
\(=\dfrac{15}{8}\)
\(\dfrac{7}{8}+\dfrac{3}{5}+\dfrac{1}{4}\)
\(=\left(\dfrac{7}{8}+\dfrac{1}{4}\right)+\dfrac{3}{5}\)
\(=\left(\dfrac{7}{8}+\dfrac{2}{8}\right)+\dfrac{3}{5}\)
\(=\dfrac{9}{8}+\dfrac{3}{5}\)
\(=\dfrac{45}{40}+\dfrac{24}{40}\)
\(=\dfrac{69}{40}\)
\(3\dfrac{5}{13}-\dfrac{8}{11}\)
\(=\dfrac{44}{13}-\dfrac{8}{11}\)
\(=\dfrac{484}{143}-\dfrac{104}{143}\)
\(=\dfrac{380}{143}\)
\(\dfrac{1}{3}\) x \(\dfrac{3}{5}\) x \(\dfrac{5}{9}\)
= \(\dfrac{1}{5}\) x \(\dfrac{5}{9}\)
= \(\dfrac{1}{9}\)
\(\dfrac{15}{16}\) : \(\dfrac{3}{8}\) x \(\dfrac{3}{4}\)
= \(\dfrac{15}{16}\) x \(\dfrac{8}{3}\) x \(\dfrac{3}{4}\)
= \(\dfrac{5}{2}\) x \(\dfrac{3}{4}\)
= \(\dfrac{15}{8}\)
\(\dfrac{7}{8}\) + \(\dfrac{3}{5}\) + \(\dfrac{1}{4}\)
= \(\dfrac{35}{40}\) + \(\dfrac{24}{40}\) + \(\dfrac{10}{40}\)
= \(\dfrac{59}{40}\) + \(\dfrac{10}{40}\)
= \(\dfrac{69}{40}\)
3\(\dfrac{5}{13}\) - \(\dfrac{8}{11}\)
= \(\dfrac{44}{13}\) - \(\dfrac{8}{11}\)
= \(\dfrac{484}{143}\) - \(\dfrac{104}{143}\)
= \(\dfrac{380}{143}\)