How do you solve #7/n=8/7#?

1 Answer
Oct 1, 2016

Answer:

#n=49/8#

Explanation:

Given one fraction equal to another fraction we can solve using #color(blue)"cross multiplication"#

That is : #color(red)(7)/color(blue)(n)=color(blue)(8)/color(red)(7)#

Now multiply the terms on the ends of an 'imaginary' cross (X) and equate them.

That is multiply the #color(blue)"blue terms together"# and the #color(red)"red terms together"# and equate them.

#rArrcolor(blue)(8xxn)=color(red)(7xx7)#

#rArr8n=49#

to solve for n divide both sides by 8.

#(cancel(8) n)/cancel(8)=49/8#

#rArrn=49/8" is the solution"#