Question

\(\dfrac{4}{9}\) : \(\left(-\dfrac{1}{7}\right)\) + 6\(\dfrac{5}{9}\) : \(\left(-\dfrac{1}{7}\right)\)

Answer 1

\(\dfrac{4}{9}:\left(-\dfrac{1}{7}\right)+6\dfrac{5}{9}:\left(-\dfrac{1}{7}\right)\\ =\dfrac{4}{9}.\left(-7\right)+\dfrac{59}{9}.\left(-7\right)\\ =\left(\dfrac{4}{9}+\dfrac{59}{9}\right)\left(-7\right)\\ =\dfrac{63}{9}.\left(-7\right)\\ =7.\left(-7\right)\\ =-49\)

Answer 2

`4/9 : (-1)/7 + 6 5/9 : (-1/7)`

`= 4/9 . (-7) + 59/9 . (-7)`

` = (-7) . ( 4/9 + 59/9)`

`= (-7) . 7`

` = -49`

Answer 3

$\dfrac{4}{9}$ : (-$\dfrac{-1}{7}$) + 6$\dfrac{5}{9}$ : ($\dfrac{-1}{7}$)

= $\dfrac{4}{9}$ : ($\dfrac{-1}{7}$) + $\dfrac{59}{9}$ : ($\dfrac{-1}{7}$)

= $\dfrac{-28}{9}$ + $\dfrac{-413}{9}$

= -49.

Answer 4

\(\dfrac{4}{9}:\left(-\dfrac{1}{7}\right)+6\dfrac{5}{9}:\left(-\dfrac{1}{7}\right)\)

= \(\dfrac{4}{9}\cdot\left(-7\right)+6\dfrac{5}{9}\cdot\left(-7\right)\)

= \(\left(-7\right)\cdot\left(\dfrac{4}{9}+6\dfrac{5}{9}\right)\)

= \(\left(-7\right)\cdot7=-49\)

Answer 5

\(=\dfrac{4}{9}.\left(-7\right)+\dfrac{59}{9}.\left(-7\right)=\left(\dfrac{4}{9}+\dfrac{59}{9}\right).\left(-7\right)\)

=\(\dfrac{63}{9}.\left(-7\right)=7.\left(-7\right)=-49\)