How can Ari simplify the following expression? StartFraction 5 Over a minus 3 EndFraction minus 4 divided by 2 + StartFraction 1 Over a minus 3 EndFraction 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.

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Answer:

the answer is a

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.

Step-by-step explanation:

Simplifying an expression involves breaking down the expression.

The true statement is: (a) 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.

The expression is given as:

[tex]\mathbf{\frac{\frac{5}{a -3} - 4}{ 2 + \frac{1}{a - 3}}}[/tex]

Start by writing the numerator and the denominator, with a common denominator

[tex]\mathbf{\frac{\frac{5}{a -3} - 4}{ 2 + \frac{1}{a - 3}} = \frac{\frac{5 -4a +12}{a - 3}}{\frac{2a - 6 + 1}{a - 3}}}[/tex]

Cancel out the denominators of both fractions (by dividing the numerators)

[tex]\mathbf{\frac{\frac{5}{a -3} - 4}{ 2 + \frac{1}{a - 3}} = \frac{5 -4a +12}{2a - 6 + 1}}[/tex]

So, we have:

[tex]\mathbf{\frac{\frac{5}{a -3} - 4}{ 2 + \frac{1}{a - 3}} = \frac{17 -4a }{2a - 5}}[/tex]

Hence, the correct option is (a).

Read more about fraction division at:

https://brainly.com/question/17205173

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