\(\dfrac{-13}{4}.\dfrac{3}{7}-\dfrac{13}{4}.\dfrac{10}{7}-\dfrac{13}{7}\)
\(=\dfrac{13}{4}.\dfrac{-3}{7}-\dfrac{13}{4}.\dfrac{10}{7}-\dfrac{13}{7}\)
\(=\dfrac{13}{4}.\left(\dfrac{-3}{7}-\dfrac{10}{7}\right)-\dfrac{13}{7}\)
\(=\dfrac{13}{4}.\dfrac{-13}{7}-\dfrac{13}{7}\)
\(=\dfrac{-13}{4}.\dfrac{13}{7}-\dfrac{13}{7}\)
\(=\dfrac{13}{7}.\left(\dfrac{-13}{4}-1\right)\)
\(=\dfrac{13}{7}.-\dfrac{17}{4}\)
\(=-\dfrac{221}{28}\)
* Cách làm nhanh: Với biểu thức như trên, hai phân số nhân với nhau có thể đổi dấu cho nhau.*
-13/4 . 3/7 - 13/4 . 10/7 - 13/7
= -13/4 . (3/7 + 10/7) - 13/7
= -13/4 . 13/7 - 13/7
= 13/7 . (-13/4 - 1)
= 13/7 . (-17/4)
= -221/28
- \(\dfrac{13}{4}\)x \(\dfrac{3}{7}\) - \(\dfrac{13}{4}\) x \(\dfrac{10}{7}\) - \(\dfrac{13}{7}\)
= - \(\dfrac{13}{7}\) x \(\dfrac{3}{4}\) - \(\dfrac{13}{7}\)x \(\dfrac{10}{4}\) - \(\dfrac{13}{7}\) x 1
= - \(\dfrac{13}{7}\) x (\(\dfrac{3}{4}\) + \(\dfrac{10}{4}\) + 1)
= - \(\dfrac{13}{7}\) x ( \(\dfrac{17}{4}\))
= - \(\dfrac{221}{28}\)