Question

Сократить дробь 16x³y/20x²y²

Answer 1

$\frac{16x^3y}{20x^2y^2}=\frac{4x}{5y}$

Answer 2

To simplify the fraction (16x³y) / (20x²y²), you can follow these steps:

Step 1: Cancel out common factors in the numerator and denominator.

Step 2: Reduce the remaining fraction to its simplest form.

Let's break it down:

Step 1: Cancel out common factors In the numerator, 16x³ can be written as 2 * 8 * x * x * x, and in the denominator, 20x²y² can be written as 2 * 2 * 5 * x * x * y * y. Now, let's cancel out the common factors:

(2 * 8 * x * x * x) / (2 * 2 * 5 * x * x * y * y)

Cancel out the common factors: 2, x, x

Step 2: Reduce the remaining fraction After canceling out the common factors, we get:

(8 * x) / (2 * 5 * y * y)

Now, simplify the remaining factors in the numerator and denominator:

8/2 = 4 x / x = 1 (since any term divided by itself equals 1)

The simplified fraction is:

4 / (5 * y * y)

So, the simplified form of the fraction is 4 / (5y²).