Question

17. / - (4) 4 17. (13, 63) 3 Cuesome 23

Answer 1

`(7)/(12)`Step-by-step explanation

let´s remember some properties of the exponents and addition of fractions

`\begin{gathered} ((a)/(b))^(-1)=(b)/(a) \\ \text{and the subtraction} \\ (a)/(b)-(c)/(d)=(ad-bc)/(bd) \end{gathered}`

hence

Step 1

use the property to convert the fraction

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

Step 2

now, add the subtraction

`\begin{gathered} (4)/(3)-((3)/(4))=(4\cdot4-3\cdot3)/(12) \\ (4)/(3)-((3)/(4))=(16-9)/(12) \\ (4)/(3)-((3)/(4))=(7)/(12) \end{gathered}`

therefore, the answer is

`(7)/(12)`

I hope this helps you