Respuesta :

Answer:

Remains the same

Step-by-step explanation:

Given

[tex]\frac{XZ}{Y}[/tex]

Required

What happens when the X and Y are tripled;

[tex]Initial\ Fraction = \frac{XZ}{Y}[/tex]

When both X and Y are tripled, the new fraction is represented below:

[tex]New\ Fraction = \frac{3XZ}{3Y}[/tex]

When the numerator and denominator are divided by their common factor (3), the new fraction becomes

[tex]New\ Fraction = \frac{3XZ/3}{3Y/3}[/tex]

[tex]New\ Fraction = \frac{XZ}{Y}[/tex]

Compare the new fraction with the initial fraction; one would notice that they have the same value;

Hence, the fraction remains the same