Question

\(4\dfrac{25}{16}\)\(+25\) (\(\dfrac{9}{16}:\dfrac{125}{64}:\dfrac{-27}{8}\))

Answer 1

\(4\dfrac{25}{16}+25\left(\dfrac{9}{16}:\dfrac{125}{64}:\dfrac{-27}{8}\right)\)

\(=\dfrac{89}{16}+25\left(\dfrac{36}{125}:\dfrac{-27}{8}\right)\)

\(=\dfrac{89}{16}+25.\dfrac{-32}{375}\)

\(=\dfrac{89}{16}+\dfrac{-32}{15}=\dfrac{823}{240}\)

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Answer 2

\(4\dfrac{25}{16}+25\left(\dfrac{9}{16}:\dfrac{125}{64}:-\dfrac{27}{8}\right)\)

= \(\dfrac{89}{16}+25\left(\dfrac{9}{16}.\dfrac{64}{125}:-\dfrac{27}{8}\right)\)

= \(\dfrac{89}{16}+25\left(\dfrac{36}{125}:-\dfrac{27}{8}\right)\)

= \(\dfrac{89}{16}+25\left(\dfrac{36}{125}.-\dfrac{8}{27}\right)\)

= \(\dfrac{89}{16}+25.-\dfrac{32}{375}\)

\(=\dfrac{89}{16}+-\dfrac{32}{15}\)

= \(\dfrac{823}{240}\)