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"#

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...