Respuesta :

Answer:

Unknown number = 36

Step-by-step explanation:

Equivalent ratio means,

[tex]\frac{x_1}{y_1}=\frac{x_2}{y_2}[/tex]

If [tex]x_1=2, y_1=9[/tex] and [tex]x_2=8[/tex],

[tex]\frac{2}{9}=\frac{8}{y_2}[/tex]

By cross multiplication,

2 × y₂ = 8 × 9

2y₂ = 72

[tex]\frac{2y_2}{2}=\frac{72}{2}[/tex]

y₂ = 36

Therefore, missing number in the denominator of the fraction will be 36.