Respuesta :
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