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Which statement is true about the sum of (5y/y^2)+(y-4/5y) ? A: The denominator of the simplified sum is y2 + 5y. B: The denominator of the simplified sum is 5y. C: The numerator of the simplified sum is 5y2 – 4. D: The numerator of the simplified sum is y2 + 21y.

Respuesta :

Answer:

The denominator of the simplified sum is 5y.

Step-by-step explanation:

After simplification, the denominator of the simplified sum is 5y option (B) is correct.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

[tex]=\rm \dfrac{5y}{y^2}+ \dfrac{y-4}{5y}[/tex]

After adding:

[tex]=\rm \dfrac{25y+y(y-4)}{5y^2}[/tex]

[tex]=\rm \dfrac{25+(y-4)}{5y}[/tex]

[tex]=\rm \dfrac{21+y}{5y}[/tex]

Thus, after simplification the denominator of the simplified sum is 5y option (B) is correct.

Learn more about the fraction here:

brainly.com/question/1301963

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