Question 664557
m/8 = 9/5


cross multiply to get 5m = 72


divide both sides of this equation by 5 to get m = 72/5.


if this solution is good, then (72/5) / 8 = 9/5


(72/5) / 8 is the same as 72 / (5*8) which is the same as 72 / 40 


since 8 goes into 72 9 times and 8 goes into 40 5 times, then 72 / 40 is equivalent to 9 / 5


what you just did was divide both numerator and denominator by 8 which simplified the expression of 72/8 to make it equal to 9/5.


the result is that the equation (72/5) / 8 = 9/5 becomes 9/5 = 9/5 which is true.


this confirms that m = 72/5 is a solution to the equation.