# How do you solve #8/9=(n+6)/n#?

##### 2 Answers

#### Explanation:

When we have 1 fraction equal to another we can use the method of

#color(blue)"cross-multiplication" # to solve.This is performed as follows.

#color(blue)(8)/color(red)(9)=color(red)(n+6)/color(blue)(n)# Now cross-multiply (X) the values on either end of an 'imaginary' cross and equate them.

That is multiply the

#color(blue)"blue"# values together and the#color(red)"red"# values together and equate them.

#rArrcolor(red)(9(n+6))=color(blue)(8n)# distribute the bracket

#rArr9n+54=8n# subtract 8n from both sides

#rArr9n-8n+54=cancel(8n)-cancel(8n)rArrn+54=0# subtract 54 from both sides

#rArrn+cancel(54)-cancel(54)=0-54#

#rArrn=-54#

#### Explanation:

Taking common denominator

When the fraction equals zero so its numerator will be zero

So,

therefore,