Respuesta :

a. 2 since the denominator 5 *3 = 15. so 2/3 *3 must equal 6/3, which simplifies to 2.

Answer:

a. 2

Step-by-step explanation:

We have been given an equation [tex]\frac{\frac{2}{3}}{5}=\frac{x}{15}[/tex]. We are asked to find the value of x.

Using property [tex]\frac{\frac{a}{b}}{c}=\frac{a}{b*c}[/tex], we can rewrite our equation as:

[tex]\frac{2}{3*5}=\frac{x}{15}[/tex]

[tex]\frac{2}{15}=\frac{x}{15}[/tex]

Now, we will cross multiply our equation:

[tex]15*x=2*15[/tex]

[tex]\frac{15*x}{15}=\frac{2*15}{15}[/tex]

[tex]x=2[/tex]

Therefore, the value of x is 2 and option 'a' is the correct choice.