Respuesta :

Answer: A

Step-by-step explanation: because 4/3 x 3/4 is 1. 5 x 1/5 is 1.

Answer:

Option A -  [tex]k=\farc{1}{5}[/tex]      

Step-by-step explanation:

Given : Expression [tex]\frac{4}{3}\times \frac{3}{4}=5k[/tex]

To find : The value of k?

Solution :  

Step 1 - Write the expression,

[tex]\frac{4}{3}\times \frac{3}{4}=5k[/tex]

Step 2 -Multiply the LHS as numerator by numerator and denominator by denominator,

[tex]\frac{12}{12}=5k[/tex]

[tex]1=5k[/tex]

Step 3 - Divide both side by 5,

[tex]\farc{1}{5}=\frac{5k}{5}[/tex]

[tex]\farc{1}{5}=k[/tex]

Therefore, The value of k is [tex]k=\farc{1}{5}[/tex]

So, Option A is correct.