Question

Evaluate the expression for the given variable.9 - k ÷ 3/4 k=2/3

Answer 1

We are given the following expression:

`9-k/(3)/(4)`

We are also given that k is equal to 2/3. So, we can substitute that into the expression:

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

Due to order of operations, we have to do the division first, and then do the subtraction. To do division with fractions, we keep the first fraction the same and take the reciprocal of the second fraction. Then, we can multiply the two fractions. Let's do that:

`9-((2)/(3)/(3)/(4))=9-((2)/(3)*(4)/(3))=9-(8)/(9)`

Now, we can do the subtraction:

`9-(8)/(9)=(81)/(9)-(8)/(9)=(73)/(9)`

Therefore, our answer is 73/9