Question

Pls solve!

The difference between two positive rational numbers is 2/9. The numerator of the first number is 4 times larger than the numerator of the second, and its denominator is 3 times larger. Find the largest of these rational numbers?

Answer 1

Answer:

Step-by-step explanation:

Let the numerator of the send number be x and its denominator be y.

Given,

4x/3y - x/y = 2/9

Lcm = 3

4x - 3x /3 y = 2/9

x/3y = 2/9

multiplying by 3 on both sides we get,

x/y = 2/3

As the largest of these rational numbers is of the form:

4x/3y = 4/3 × x/y = 4/3 × 2/3 = 8/9

Largest of rational numbers is

8/9