How do you solve #\frac { r } { 18} = \frac { 3} { 27}#?

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Answer 1 · 2017-06-24T01:19:18

#r=2#

The easiest way is to cross multiply:

#27r=54#

#r=54/27#

#r=2#

Answer 2 · 2017-06-24T01:28:01

One way is to cross-multiply, simplify and then isolate #r#. In this case, #r=2#.

One way to solve for #r# is to cross-multiply and isolate #r#.

#r/18 = 3/27#

To cross multiply...

Socratic.org

#27r = 3(18)#

Now we simplify.

#27r = 54#

And then isolate #r#.

#(27r)/27 = 54/27#

#r = 2#

We can double check our work by subbing in #r=2# into the original equation.

#r/18 = 3/27#

#(2)/18 = 3/27#

#1/9=1/9#

Thus, we can conclude that #r=2#.

Hope this helps :)