Question

a fraction bears the same ratio to 1/27as 3/7 does to 5/9. what is the fraction?

Answer 1

your answer is 1/35. here's the solution. hope this helps!

Answer 2

Answer:

The required fraction is $x=\frac{1}{35}$

Step-by-step explanation:

Given : A fraction bears the same ratio to 1/27 as 3/7 does to 5/9.

To find : What is the fraction?

Solution :

Let the number be 'x' which with 1/27 make a same ratio as 3/7 does to 5/9.

According to question,

$x:\frac{1}{27}= \frac{3}{7}: \frac{5}{9}$

or $\frac{x}{\frac{1}{27}}=\frac{\frac{3}{7}}{\frac{5}{9}}$

Cross multiply,

$x\times \frac{5}{9}=\frac{3}{7}\times\frac{1}{27}$

$x\times \frac{5}{9}=\frac{3}{189}$

$x=\frac{3\times 9}{189\times 5}$

$x=\frac{27}{945}$

$x=\frac{9}{315}$

$x=\frac{1}{35}$

Therefore, The required fraction is $x=\frac{1}{35}$