Question

Сократите дробь 3xy^2/15x^2y

Answer 1

$\frac{3y^{2}x}{15x^{2} y} = \frac{y}{5x}$

Answer 2

на фотке показано как решить))))))))

Answer 3

To simplify the fraction $\frac{3xy^2}{15x^2y}$, we can cancel out common factors from the numerator and the denominator. In this case, we can simplify as follows:

$\frac{3xy^2}{15x^2y} = \frac{3}{15} \cdot \frac{xy^2}{x^2y}$

Next, let's simplify the fraction $\frac{xy^2}{x^2y}$. Since $x$ and $y$ are non-zero variables, we can cancel out one $x$ and one $y$ from the numerator and the denominator:

$\frac{xy^2}{x^2y} = \frac{y^2}{xy} = \frac{y \cdot y}{x \cdot y} = \frac{y}{x}$

Now, we have:

$\frac{3}{15} \cdot \frac{y}{x} = \frac{1}{5} \cdot \frac{y}{x} = \frac{y}{5x}$

So, the simplified fraction is $\frac{y}{5x}$.