Question

How do you solve `t - \frac { 1} { 9} = \frac { 1} { 6}`?

Answer 1

`t=5/18`

Explanation:

`"to eliminate the fractions multiply ALL terms by the "`
`color(blue)"lowest common multiple of 9 and 6"`

`"the lowest common multiple of 9 and 6 is 18"`

`18t-(cancel(18)^2xx1/cancel(9)^1)=cancel(18)^3xx1/cancel(6)^1`

`rArr18t-2=3larrcolor(blue)"no fractions"`

`"add 2 to both sides"`

`18tcancel(-2)cancel(+2)=3+2`

`rArr18t=5`

`"divide both sides by 18"`

`(cancel(18) t)/cancel(18)=5/18`

`rArrt=5/18`

`color(blue)"As a check"`

Substitute this value into the left side of the equation and if equal to the right side then it is the solution.

`"left side "=5/18-1/9=5/18-2/18=3/18=1/6`

`rArrt=5/18" is the solution"`

Answer 2

The answer is `5/18`

Explanation:

Add `\frac{1}{9}` to both sides

`t=\frac{1}{9}+\frac{1}{6}`

`t=\frac{5}{18}`

Answer 3

See the answer below...

Explanation:

Nothing to do than to add `1/9` both side...

`t-1/9=1/6`
`=>t-1/9+1/9=1/6+1/9`
`=>t=(1xx3)/(6xx3)+(1xx2)/(9xx2`
`=>t=3/18+2/18`
`=>t=5/18` [ANSWER]

Hope this helps...
Thank you...