How do you solve #\frac { 6} { n } = \frac { 48} { 56}#?

2 Answers
Jan 10, 2018

#n = 7#

Explanation:

One way to solve this is using cross-multiplication.

That means that the #6# will multiply the #56#, and the #n# will multiply the #48#:
#48n = 336#
#n = 7#

If you need another explanation of examples, feel free to watch this video in the link: http://virtualnerd.com/geometry/similarity/ratios-proportions/proportion-cross-multiply-example.

Hope this helps!

Jan 10, 2018

#n=7#

Explanation:

First, determine the defined range.

#6/n=48/56 ; n>0#

Then, reduce the fraction.

#6/n=6/7#

Thirdly, when the numerators are the same, set the denominators equal.

#n=7 ; n>0#

Hence, we get the answer:

#n=7#