Help me!!!! How do u find this radical expression?

Question

PLEASE HELP

Question

1/t plus 1/2t plus 1/3t equals 5

i know that you have to find the LCD but thats how far i can go

Answer 1

Well what's the LCD of t, 2t, and 3t?

6t, right?

1/t = 6/6t
1/2t = 3/6t
1/3t = 2/6t

6/6t + 3/6t + 2/6t = 5
(6 + 3 + 2)/6t = 5
11/6t = 5
6t(11/6t) = 5(6t)
11 = 30t
t = 11/30

Answer 2

There is trick that lets you avoid dealing with the fractions. Multiply the lcd (6t, right?) to both sides of the equation. This 6t gets multiplied to every fraction on the left hand side of the equation. The nice thing is that it will cancel out the denominator in each case. Voila, no fractions:

(1/t) 6t + (1/2t) 6t + (1/3t) 6t = 5 (6t)

(6t/t) + (6t/2t) + (6t/3t) = 30t

6 + 3 + 2 = 30t

11 = 30t

Divide by 30 on both sides:

t = (11/30)

Hope this helps.

Answer 3

1/1t + 1/2t + 1/3t = 5(/1) , then you have to find which multiple is common in the three of them , i choose 6 because it's the smallest LCD and i don't want to use big numbers right now .

6/6t + 3/6t + 2/6t = 30/6 , after this take all of the denominators since all of them are the same .

6t + 3t + 2t = 30 , now resolve it the normal way .

11t = 30

t = 30/11

t ( is exactly ) = 2.7272727 but is approximately 2.73 ...