Question

Please answer the question in the photo, thanks!

Answer 1

`\therefore 2(1)/(3) / \left ( -3(2)/(3) \right ) = -(7)/(11)`

Explanation:

The question relates to dividing a fraction by proper and another fraction

The given expression is presented as follows;

`2(1)/(3) / \left ( -3(2)/(3) \right )`

We rearrange the fractions as improper fractions for easier division as follows;

`2(1)/(3) = (7)/(3)`

`-3(2)/(3) = -(11)/(3)`

Therefore, we have;

`2(1)/(3) / \left ( -3(2)/(3) \right ) = (7)/(3) / \left (-(11)/(3) \right ) = (7)/(3) * \left ((1)/(-(11)/(3) ) \right ) = (7)/(3) / \left (-(3)/(11) \right ) =-(7)/(11)`

`\therefore 2(1)/(3) / \left ( -3(2)/(3) \right ) = -(7)/(11)`