Question

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

Answer 1

`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"`