in the exercises 6-14, X=12, Y=10, Z=24. write each ratio in simplest form

  1. x to y
  2. z to x
  3. x+y to z
  4. x/x+z
  5. x+y/z+y
  6. y-z/x-y
  7. x : y : z
  8. z : x : y
  9. x:(x+y) : (y+z)

Verified Answer :

x = 12, y = 10, z = 24

6. x to y : 12/10 reduces to 6/5...so simplest ratio is 6:5
7. z to x : 24/12 reduces to 2/1...so simplified ratio is 2:1
8. x + y to z : 22/24 reduces to 11/12...simplified ratio is 11:12
9. x/(x + z): 12/36 reduces to 1/3...simplified ratio is 1:3
10. (x + y)/(z + y) : 22/34 reduces to 11/17...simplified ratio is 11:17
11. (y-z)/(x-y) ; -14/2 reduces to -7/1...simplified ratio is -7:1
12. x:y:z : 12:10:24....simplified ratio is 6:5:12
13. z:x:y: 24:12:10..simplified ratio is 12:6:5
14. x:(x+y):(y+z) :  12:22:34...simplified ratio is 6:11:17