How do you solve #\frac { 3} { 5} = \frac { 7} { a }#?

2 Answers
Mar 14, 2018

#a=11 2/3#

Explanation:

#3/5=7/a# => cross multiply:

#3a=35# => divide both sides by 3:

#a=35/3= 11 2/3#

Mar 14, 2018

#a = 11.67#

Explanation:

From #3/5 = 7/a#, cross multiply.

#3*a = 5*7#

Multiply that out and you have #3*a = 35#

Divide both sides by 3 and cancel where available and you have

#(cancel(3)*a)/cancel(3) = 35/3#

So now you have #a = 35/3 = 11.67#.

I hope this helps,
Steve