# 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.

**Explanation:**

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 × 7/1 = 3/7 × 9/5

or, 7x = 27/35

or, x = 27/35 × 1/7

or, x = 27/245