Question

\dfrac{-2}{3} \div 2\dfrac{1}{4} =
3
−2
​
÷2
4
1
​

Answer 1

`(-2)/(3) / 2(1)/(4) = (-8)/(27)`

Explanation:

Given

`(-2)/(3) / 2(1)/(4) =`

Required

Solve

Start by converting the mixed number to improper fraction

`(-2)/(3) / (9)/(4) =`

Convert the division to muliplication

`(-2)/(3) * (4)/(9) =`

`(-2*4)/(3*9)=`

`(-8)/(27)`

Hence:

`(-2)/(3) / 2(1)/(4) = (-8)/(27)`