How do you solve #\frac { 6} { 7} = \frac { 72} { n }#?

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Answer 1 · 2017-07-30T22:41:15

See a solution process below:

First, we can "flip" each fraction:

#6/7 = 72/n# becomes:

#7/6 = n/72#

Now, multiply each side of the equation by #color(red)(72)# to solve for #n# while keeping the equation balanced:

#color(red)(72) xx 7/6 = color(red)(72) xx n/72#

#cancel(color(red)(72))12 xx 7/color(red)(cancel(color(black)(6))) = cancel(color(red)(72)) xx n/color(red)(cancel(color(black)(72)))#

#12 xx 7 = n#

#84 = n#

#n = 84#