2/3 of 5/6 of xis the same as 3/4 of 4/5 of y. What is the value of x/y as a fraction in lowest terms?
Jen had given you
5/9x=3/5y in the same question you posted before
or 5x/9 = 3y/5
you should know that ratios can be written in several ways, you want x/y
from above 25x = 27y
then
x/y = 27/25
I wasn't sure of the conversion thank you very much.
To find the value of x/y as a fraction in lowest terms, we need to simplify the given equation.
Given: 2/3 * 5/6 * x = 3/4 * 4/5 * y
First, let's simplify each side of the equation separately.
On the left-hand side:
2/3 * 5/6 * x
= (2 * 5) / (3 * 6) * x
= 10/18 * x
On the right-hand side:
3/4 * 4/5 * y
= (3 * 4) / (4 * 5) * y
= 12/20 * y
Now we have the equation: 10/18 * x = 12/20 * y
To find the value of x/y, we can multiply both sides of the equation by the reciprocal of the denominator y, which is 1/y.
(10/18 * x) * (1/y) = (12/20 * y) * (1/y)
Simplifying further:
10/18 * x/y = 12/20
To reduce the fractions to lowest terms, we can simplify them by finding the greatest common divisor (GCD) of the numerators and denominators.
GCD of 10 and 18 is 2. Dividing both numerator and denominator of 10/18 by 2, we get 5/9.
GCD of 12 and 20 is 4. Dividing both numerator and denominator of 12/20 by 4, we get 3/5.
Therefore, the simplified equation becomes:
5/9 * x/y = 3/5
Now, to solve for x/y, we can cross-multiply:
5 * 3 = 9 * x/y
15 = 9x/y
To isolate x/y, we multiply both sides by the reciprocal of 9, which is 1/9.
(1/9) * 15 = 9x/y * (1/9)
15/9 = x/y
The value of x/y as a fraction in lowest terms is:
5/3