(x-6)/x = 3/5 : algebraic equivalent given

3x = 5*(x-6) : cross multiplication

3x = 5x-30 : distribute multiplication

0 = 5x-3x – 30 subtract 3x from both sides

0 = 2x-30 : combine like terms

30 = 2x : subtract -30 (same as adding 30) to both sides

15 = x : divide both sides by 2

back to the original ratio:

(x-6)/ x = 3/5

x = 15 —> (15-6)/15 = 3/5

9/15 = (3*3)/(3*5) = 3/5 : cancel common factor of 3

the value of the fraction is 9/15 : answer

Good luck!

3/5 x 3/3 you get 9/15.

15 – 9 = 6

I have the highest score in Ypsilanti for math so you can trust me for the correct answer.

3/5 * 2/2= 6/10- this has a value of 3/5 but the numerator is NOT 6 less than its denominator, so you go up

3/5 * 3/3= 9/15- this has a value of 3/5 when you simplify it and the numerator IS 6 less than it’s denominator