If t multiplied by the sum of x and 2y is divided by 4y, what is the result?
t(x+2y)/4y=xt/4y + t/2
To find the result, let's break down the expression step-by-step:
1. Start with the expression "t multiplied by the sum of x and 2y":
t * (x + 2y)
2. Divide the above expression by 4y:
(t * (x + 2y)) / (4y)
Therefore, the result is given by the expression "(t * (x + 2y)) / (4y)".
To find the result of the expression (t(x + 2y)) / (4y), we can follow these steps:
Step 1: Distribute t to both x and 2y.
t(x + 2y) = tx + 2ty
Step 2: Substitute the expression from Step 1 into the original expression.
(tx + 2ty) / (4y)
Step 3: Simplify the expression by canceling out common factors.
Let's look for common factors in the numerator and denominator.
In the numerator, we have tx + 2ty.
In the denominator, we have 4y.
Notice that both terms in the numerator have a common factor of t and y.
Factoring out the common factor, we get t(x + 2y) / (4y) = (t * (x + 2y)) / (4 * y)
The common factors t and y cancel out, leaving us with (x + 2y) / (4 * y).
So, the simplified expression is (x + 2y) / (4y).