Answer:
[tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Step 1: Write the equation
[tex]\frac{5k}{6}[/tex] + [tex]\frac{2}{3}[/tex] = [tex]\frac{4}{3}[/tex]
Step 2: Multiply each term by the lowest common multiple (lcm)
lcm of the denominators 6 and 3 = 6
Step 3:
6x[tex]\frac{5k}{6}[/tex] + 6x[tex]\frac{2}{3}[/tex] = 6x[tex]\frac{4}{3}[/tex]
Next
5k + 4 = 8
5k = 8 - 4
5k = 4
Divide through by 5
k = [tex]\frac{4}{5}[/tex]
