A fraction bears the same ratio to 1/7 as 3/7 does to 5/9. Find the fraction.
Ratio between any two numbers represents how many times one number contains the other.
Answer: The fraction 27/245 bears the same ratio to 1/7 as 3/7 does to 5/9.
For any given pairs of numbers, if they bear the same ratio, they are proportional to each other.
Therefore, if a is to b bears the same ratio as c is to d, then- a : b : : c : d.
Let 'x' represents the fraction that bears the same ratio to 1/7 as 3/7 does to 5/9. Now, since they are in proportion, therefore-
x : 1/7 : : 3/7 : 5/9
or, x : 1/7 = 3/7 × 9/5
or, x : 1/7 = 27/35
or, x = 27/35 × 1/7
or, x = 27/245