Question

Thực hiện phép tính (Tính nhanh):\(10 \dfrac{1}{4}: \Bigg(-\dfrac{3}{4} \Bigg) - 8\dfrac{1}{4} : \Bigg(-\dfrac{3}{5}\Bigg)\)

Answer 1

\(10\dfrac{1}{4}:\left(-\dfrac{3}{4}\right)-8\dfrac{1}{4}:\left(-\dfrac{3}{5}\right)\)

= \(\dfrac{41}{4}:\left(-\dfrac{3}{4}\right)-\dfrac{33}{4}:\left(-\dfrac{3}{5}\right)\)

= \(\dfrac{41}{4}.\dfrac{\left(-4\right)}{3}-\dfrac{33}{4}.\dfrac{\left(-5\right)}{3}\)

=\(\dfrac{-84}{12}-\dfrac{\left(-165\right)}{12}\)

= \(\dfrac{-84}{12}+\dfrac{165}{12}\)

=\(\dfrac{-84+165}{12}\)

=\(\dfrac{81}{12}\)

=\(\dfrac{27}{4}\)