how would you solve 3xy6^2/6xy of the two fractions?
4y / 5
To solve the expression (3xy6^2 / 6xy) / (4y / 5), we can follow these steps:
Step 1: Simplify the numerator of the first fraction.
In the numerator, the term 6^2 can be simplified to 36, so the numerator becomes 3xy * 36.
Step 2: Simplify the denominator of the first fraction.
The denominator is already simplified as 6xy.
So, the first fraction becomes (3xy * 36) / (6xy).
Step 3: Simplify the numerator of the second fraction.
The numerator of the second fraction is 4y.
Step 4: Simplify the denominator of the second fraction.
The denominator of the second fraction is already simplified as 5.
So, the second fraction remains as 4y / 5.
Now we can rewrite the expression as ((3xy * 36) / (6xy)) / (4y / 5).
Step 5: Simplify the division of the fractions.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. This can be written as (3xy * 36) / (6xy) * (5 / 4y).
Step 6: Simplify the numerator.
Multiplying 3xy by 36 results in 108xy.
Step 7: Simplify the denominator.
Multiplying 6xy by 4y cancels out the common factors, resulting in 24x.
So, the expression simplifies to (108xy / 24x) * (5 / 4y).
Step 8: Simplify the expression.
We can simplify further by canceling out common factors between the numerator and denominator. In this case, there is a common factor of x and y.
Canceling out x and y in the numerator and denominator leaves us with (108 / 24) * (5 / 4).
Step 9: Evaluate the expression.
The numerator 108 divided by the denominator 24 equals 4.5, and 5 divided by 4 equals 1.25.
Therefore, the simplified expression is 4.5 * 1.25, which equals 5.625.