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]