3t+1/6=2/3?

Question

please show work and just to let you know that they are fractions

Answer 1

3t=4/6-1/6=3/6
t=1/6

Answer 2

3t+1/6=2/3
<=> 3t = 2/3 - 1/6 <=> t = 1/6

Answer 3

3 T + 1/16 = 2/3

3 T = 2/3 - 1/16

3 T = (2/3 - 1/16) divided by 48 common demonator of 3 and 16

3 T = (32 - 3)/48

3 T = 29/48

T = 29/48 x 1/3

T = 29/144

Proof: 3 T - 1/16 = 2/3

3 T = 29/48

1/16 = 3/48

29/48 + 3/48 = 32/48

32/48 reduces to 2/3

Therefore T = 29/144

some of the other answers say that T = 1/16

but they do not prove to be 1/16

ie: 3T + 16 = 2/3

3 T = 3 x 1/16 = 3/16

3 T + 1/16 is supposed to equal 2/3

but 3 T = 3/16 + 1/16 = 1/4 so it is they are the wrong answers

Answer 4

3t+1/6=2/3
=> 3t= 2/3-1/6
=> 3t = 3/6
=> t=1/6

Answer 5

3t + 1/6 = 2/3

3t = 2/3 - 1/6

3t = 1/2

t = 1/2 divided by 3

t = 1/6

Answer 6

3t=2/3-1/6 ( Make varible on 1 side).
3t=3/6
t=3/6 divide by 3 (divide by coffeient)
t=1/6

Answer 7

to do this problem turn the 2/3 into 4/6. Now it's easy. obviously 3/6 + 1/6 = 4/6 so it would be 3 times 1/6 + 1/6 = 4/6. so t=1/6.

Answer 8

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

cross multiply,
3(3t+1) =2 *6

3t+1 =4
3t=3

t=1

-----------------------

If 3t + 1/6 =2/3

3t =2/3 -1/6
=4/6 -1/6
3/6 =1/2


t=1/6

Answer 9

First: get rid of fractions > take the denominators and multiply them by everything and combine:

6(3)(3t) + 6(3)(1/6) = 6(3)(2/3)
54t + 3 = 12

Second: solve for "t" and keep it on one side by itself > subtract 3 from both sides (opposite side means opposite sign):

54t + 3 -3 = 12 - 3
54t = 9

Third: divide both sides by 54:

54t/54 = 9/54
t = 9/54 simplify into...

t = 1/6

Answer 10

well, make the two fractions common fractions. then subtract 1/6 from both sides and you should end up with 3t on one side and a fraction on the other. sorry if this answer is vague, but see if you can try to solve this yourself