Question

a) (-2 1/3) . (- -6/4)

b) (-2 3/5) : (-26/25)

c) -5/13 . 26/7 . -21/25 . 15/16

d)(-7/8 - 13/16 ) . 24/9

Answer 1

a: \(\left(-2\dfrac{1}{3}\right)\cdot\left(-\dfrac{-6}{4}\right)=\dfrac{-7}{3}\cdot\dfrac{3}{2}=-\dfrac{7}{2}\)

b: \(\left(-2\dfrac{3}{5}\right):\dfrac{-26}{25}=\dfrac{-13}{5}:\dfrac{-26}{25}\)

\(=\dfrac{13}{5}\cdot\dfrac{25}{26}=\dfrac{5}{2}\)

c: \(\dfrac{-5}{13}\cdot\dfrac{26}{7}\cdot\dfrac{-21}{25}\cdot\dfrac{15}{16}\)

\(=-\dfrac{5}{25}\cdot\dfrac{26}{13}\cdot\dfrac{-21}{7}\cdot\dfrac{15}{16}\)

\(=-\dfrac{1}{3}\cdot2\cdot\left(-3\right)\cdot\dfrac{15}{16}=\dfrac{15}{8}\)

d: \(\left(-\dfrac{7}{8}-\dfrac{13}{16}\right)\cdot\dfrac{24}{9}\)

\(=\left(-\dfrac{14}{16}-\dfrac{13}{16}\right)\cdot\dfrac{8}{3}\)

\(=-\dfrac{27}{16}\cdot\dfrac{8}{3}=-\dfrac{27}{3}\cdot\dfrac{8}{16}=-\dfrac{9}{2}\)

Answer 2

`(-2 3/5) : (-26/25)`

`= (-13/5) . (-25/26)`

`= (-13/5) . (-25/26)`

`= 5/2`

`( -5/13) . 26/7 . (-21/25) . 15/16`

`= (-10/7) . (-21/25) . 15/16`

`= (-10/7) . (-21/25) . 15/16`

`= 6/5 . 15/16`

`= 9/8`