simplify 3/(3xy)+(2y)/(6x) — step-by-step solution

⚠ xy is read as the product x*y: for the variable xy, write xy_

Let's add fractions:

\frac{3}{3 x y} + \frac{2 y}{6 x}

ℹ

\frac{3}{3 x y}

\frac{1}{x y}

‖

\frac{2 y}{6 x}

\frac{y}{3 x}

\frac{1}{x y} + \frac{y}{3 x}

\frac{3 x + y \cdot x y}{x y \cdot 3 x}

ℹ

y \cdot y

y^{2}

‖

x \cdot x

x^{2}

\frac{3 x + y^{2} x}{x^{2} y \cdot 3}

\frac{x \cdot (3 + y^{2})}{3 x^{2} y}

The fraction:

\frac{x}{x^{2}}

simplifies by the common factor:

x

into the new fraction:

\frac{1}{x}

\frac{3 + y^{2}}{3 \cdot x y}

▶Result:

\frac{y^{2} + 3}{3 x y}