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

17. / - (4) 4 17. (13, 63) 3 Cuesome 23-example-1
User Max Shron
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1 Answer

6 votes


(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

User Harlow Burgess
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