Question

evaluate the expression for the given variable;9-y÷5/9;y=1/3. (type a whole number, fraction, or mixed number) in a box

Answer 1

We have the following expression:

`9-(y)/((5)/(9))`

If we substitute y=1/3, we have

`9-((1)/(3))/((5)/(9))`

By applying the sandwhich rule

on the second term, we have

`\begin{gathered} ((1)/(3))/((5)/(9))=(1\cdot9)/(3\cdot5)=(9)/(15) \\ \text{which is equal to } \\ (3)/(5) \end{gathered}`

Then, our expression can be written as

`9-(3)/(5)`

Now, 9 is equal to 45/5, then this last result is equal to

`9-(3)/(5)=(45)/(5)-(3)/(5)=(45-3)/(5)=(42)/(5)`

That is, the answer is

`(42)/(5)`