How do you solve #9 1/3 = 5/3n#?

1 Answer
Jul 5, 2016

#n = 28/5 = 5 3/5#

Explanation:

Change the proper fraction to an improper fraction.
Then cross multiply because there is ONE fraction on each side of an EQUAL sign.

#28/3 = (5n)/3#

#5xx3n = 28 xx3#

#n = (28 xx 3)/(5 xx 3)#

#n = 28/5 = 5 3/5#

OR, solve for #n# by multiplying by the reciprocal of #5/3#

#28/3 xx color(red)(3/5) = (5n)/3 xx color(red)(3/5)#
#n = 28/5 = 5 3/5#