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

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Answer 1 · 2018-03-14T00:33:17

#a=11 2/3#

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

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

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

Answer 2 · 2018-03-14T00:36:47

#a = 11.67#

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