Respuesta :

Answer:

[tex]k=\frac{3}{2}[/tex]

Step-by-step explanation:

Given:

[tex]\frac{k}{4}=\frac{3}{8}[/tex]

To find: value of [tex]k[/tex]

Solution:

Cross-multiplying is a method in which the numerator of each (or one) side is multiplied by the denominator of the other side.

[tex]\frac{k}{4}=\frac{3}{8}[/tex]

On cross-multiplication, the equation becomes [tex]k\times 8=4\times 3[/tex]

[tex]8k=12[/tex]

Divides both sides by 8

[tex]\frac{8k}{8}=\frac{12}{8}\\k=\frac{12}{8}=\frac{3}{2}[/tex]