Question

** ITS TIMED HELP **

How can Ari simplify the following expression? ((5)/(a-3)-4)/(2+(1)/(a-3))

Write the numerator and denominator with a common denominator. Then divide the numerator by the denominator. To do this, multiply the numerator by the reciprocal of the denominator.
Write the numerator and denominator with a common denominator. Then divide the numerator by the denominator. To do this, multiply the numerators and multiply the denominators.
Divide the numerator and the denominator by a – 3. Then divide the numerator by the denominator.
Divide the numerator and the denominator by a – 3. Then simplify the numerator and simplify the denominator.

Answer 1

Answer: A

Explanation:

Because I said so

Answer 2

we have

`(((5)/((a-3))-4))/((2+(1)/((a-3))))`

we know that

`numerator=((5)/((a-3))-4)`

`denominator=(2+(1)/((a-3)))`

Step
`1`

Write the numerator and denominator with a common denominator

Numerator

`(5)/((a-3))-4=(5-4(a-3))/((a-3))=((17-4a))/((a-3))`

Denominator

`(2+(1)/((a-3)))=(2(a-3)+1)/((a-3))=((2a-5))/((a-3))`

Step
`2`

Divide the numerator by the denominator

`(((17-4a))/((a-3)))/(((2a-5))/((a-3)))`

To do this, multiply the numerator by the reciprocal of the denominator.

`(((17-4a))/((a-3)))*(((a-3))/((2a-5)))=((17-4a))/((2a-5))`

therefore

the answer is the option

Write the numerator and denominator with a common denominator. Then divide the numerator by the denominator. To do this, multiply the numerator by the reciprocal of the denominator