# How do you solve #6/5=2/(5n)#?

##### 2 Answers

#### Explanation:

Solve for

This means n = 0.3333333333333333333333......,

#### Explanation:

Multiply both sides of the equation by the

#color(blue)"lowest common multiple"# (LCM) of the denominators 5 and 5nthe LCM of 5 and 5n is 5n

#cancel(5)^1 n xx6/cancel(5)^1=cancel(5n)xx2/cancel(5n)#

#rArr6n=2# To solve for n, divide both sides by 6

#(cancel(6) n)/cancel(6)=2/6#

#rArrn=2/6=1/3#

#color(blue)"As a check"# Substitute this value into the right side and if it equals the left side then it is the solution.

#"right side "=2/(5xx1/3)=2/(5/3)==2/1xx3/5=6/5#

#rArrn=1/3" is the solution"#