What is the ratio of a to b 9/17 = 3a / a+b

3/14

6/17

13/17

50/9

3/14

Step-by-step explanation:

We want to find the ratio of a to b, or a/b

9/17 = 3a / (a+b)

Multiply each side by 17

17*9/17 = 17 * 3a / (a+b)

9 = 51 a / (a+b)

Multiply each side by (a+b)

9 (a+b) = 51a

Distribute the 9

9a + 9b = 51a

Subtract 9a from each side

9a-9a + 9b = 51a-9a

9b = 42a

Divide each side by b

9b/b = 42a/b

9 = 42a/b

Divide each side by 42

9/42 = a/b

But we can simplify 9/42 because each is divisible by 3, so divide 9 and 42 by 3

3/14 = a/b