Đáp án:
a.$-\dfrac{28}{15}$
b.$\dfrac{-1}7$
Giải thích các bước giải:
a.$\dfrac23+\dfrac{-2}5+\dfrac{-5}{6}-\dfrac{13}{10}$
$=\dfrac{2}{3}-\dfrac{2}{5}-\dfrac{5}{6}-\dfrac{13}{10}$
$=\dfrac{20}{30}-\dfrac{12}{30}-\dfrac{25}{30}-\dfrac{39}{30}$
$=\dfrac{20-12-25-39}{30}$
$=\dfrac{-56}{30}$
$=-\dfrac{28}{15}$
b.$\dfrac{-3}7\cdot\dfrac{-1}{9}+\dfrac7{-18}\cdot\dfrac{-3}{7}+\dfrac56\cdot\dfrac{-3}{7}$
$=\dfrac{3}7\cdot\dfrac{1}{9}+\dfrac7{18}\cdot\dfrac{3}{7}-\dfrac56\cdot\dfrac{3}{7}$
$=\dfrac37\cdot (\dfrac19+\dfrac7{18}-\dfrac56)$
$=\dfrac37\cdot (\dfrac19+\dfrac7{18}-\dfrac56)$
$=\dfrac37\cdot (\dfrac{2}{18}+\dfrac{7}{18}-\dfrac{15}{18})$
$=\dfrac37\cdot \dfrac{2+7-15}{18}$
$=\dfrac37\cdot \dfrac{-6}{18}$
$=\dfrac37\cdot\dfrac{-1}3$
$=\dfrac{-1}7$