2/3 of 5/6 of x = 3/4 of 4/5 of y

of means to multiply

2/3 * 5/6 * x = 3/4 * 4/5 * y
5/9x=3/5y
That's as far as you can go unless you have values.

I need to solve for x and y.

Sorry

Excuse me ...are you there?

To solve this equation, we need to simplify both sides and find the values of x and y that satisfy the equation. Let's break it down step by step:

First, let's simplify the left side of the equation:

2/3 * 5/6 * x

To simplify this expression, we multiply the numerators and the denominators:

(2 * 5) / (3 * 6) * x

This becomes:

10 / 18 * x

Next, let's simplify the right side of the equation:

3/4 * 4/5 * y

Again, we multiply the numerators and the denominators:

(3 * 4) / (4 * 5) * y

This becomes:

12 / 20 * y

Now, our equation becomes:

10/18 * x = 12/20 * y

To proceed further, we can simplify the fractions:

10/18 can be reduced to 5/9

12/20 can be reduced to 3/5

Our equation now becomes:

5/9 * x = 3/5 * y

To remove the fractions, we can multiply both sides of the equation by the denominators of the fractions, which are 9 and 5:

5/9 * 9 * x = 3/5 * 5 * y

After simplifying, the equation becomes:

5x = 9y

Now, we have a linear equation where 5x is equal to 9y.

To find specific solutions for x and y, we need more information or additional equations. If you have any additional equations or specific values for x or y, please provide them, and I can help you find the solutions.