Question

\(\dfrac{2}{5}+\dfrac{1}{5}:\left(\dfrac{-3}{4}\right)\)

\(\left(\dfrac{3}{4}+\dfrac{2}{3}\right):\dfrac{17}{4}-\dfrac{3}{4}\)

Answer 1

a: \(=\dfrac{2}{5}+\dfrac{1}{5}\cdot\dfrac{-4}{3}=\dfrac{2}{5}-\dfrac{4}{15}=\dfrac{6}{15}-\dfrac{4}{15}=\dfrac{2}{15}\)

b: \(=\dfrac{9+8}{12}\cdot\dfrac{4}{17}-\dfrac{3}{4}=\dfrac{1}{3}-\dfrac{3}{4}=\dfrac{4-9}{12}=\dfrac{-5}{12}\)

Answer 2

=2/5 + 1/5 x (-4/3)

=2/5 - 4/15

=6/15 - 4/15

=2/15

 

= (9/12+8/12) x 4/17 -3/4

 = 17/12 x 4/17 -3/4

= 1/3 -3/4

= 4/12 - 9/12

= -5/12

Answer 3

` 2/5 + 1/5 : (-3/4)`

` = 2/5 + 1/5 xx (-4/3)`

` = 2/5 + (-4/15)`

` = 6/15 + (-4/15)`

` = 2/15`

______________________________

` ( 3/4 + 2/3) : 17/4 - 3/4`

` = 17/12 : 17/4 - 3/4`

` = 17/12 xx 4/17 - 3/4`

` = 1/3 - 3/4`

` = 4/12 - 9/12`

` = -5/12`

Answer 4

\(\dfrac{2}{3}+\dfrac{1}{5}:\left(-\dfrac{3}{4}\right)=\dfrac{2}{3}-\dfrac{4}{15}=\dfrac{8-4}{15}=\dfrac{4}{15}\)
\(\left(\dfrac{3}{4}+\dfrac{2}{3}\right):\dfrac{17}{4}-\dfrac{3}{4}=\dfrac{17}{12}:\dfrac{17}{4}-\dfrac{3}{4}=\dfrac{1}{3}-\dfrac{3}{4}=-\dfrac{5}{12}\)