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

3 Answers
Nov 6, 2017

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"

Nov 6, 2017

The answer is 5/18

Explanation:

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

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

t=\frac{5}{18}

Nov 6, 2017

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...