# How do you solve #\frac { t } { 10} + \frac { t } { 15} = 1#?

##### 2 Answers

May 4, 2018

#### Explanation:

#"one way is to eliminate the fractions by multiplying"#

#"the terms by the lowest common multiple of 10 and 15"#

#"the lowest common multiple is "30#

#cancel(30)^3xxt/cancel(10)^1+cancel(30)^2xxt/cancel(15)^1=30#

#rArr3t+2t=30#

#rArr5t=30#

#"divide both sides by 5"#

#(cancel(5) t)/cancel(5)=30/5#

#rArrt=6" is the solution"#

May 4, 2018

#### Explanation:

Method #1:

multiply everything by 30

add

divide both sides by 5

Method #2:

common the denominator

so

multiply both sides by 150

add

divide both sides by 25