Question

Thực hiện phép tính:

\(1\dfrac{16}{15}+25(\dfrac9{16}:\dfrac{125}{64}:\dfrac{-27}8)\)

Answer 1

\(1\dfrac{16}{15}+25\left(\dfrac{9}{16}\div\dfrac{125}{64}\div-\dfrac{27}{8}\right)\)

\(=\dfrac{31}{15}+25\left(\dfrac{9}{16}\times\dfrac{64}{125}\times-\dfrac{8}{27}\right)\)

\(=\dfrac{31}{15}+25\times-\dfrac{32}{375}\)

\(=\dfrac{31}{15}+-\dfrac{32}{15}\)

\(=-\dfrac{1}{15}\)

Answer 2

\(1\dfrac{16}{15}+25\left(\dfrac{9}{16}:\dfrac{125}{64}:\dfrac{-27}{8}\right)\)
= \(\dfrac{31}{15}+25\left(\dfrac{9}{16}.\dfrac{64}{125}.\dfrac{-8}{27}\right)\)
\(=\dfrac{31}{15}+25\left(\dfrac{1.32.\left(-1\right)}{1.125.3}\right)\)
\(=\dfrac{31}{15}+25.\dfrac{-32}{375}\)
\(=\dfrac{31}{15}+\dfrac{1.\left(-32\right)}{15}\)
\(=\dfrac{31}{15}+\dfrac{-32}{15}\)
\(=\dfrac{-1}{15}\)