Algebra Examples

$\frac{3 x + 3 y}{20 x y} + \frac{3 x - 3 y}{20 x y}$

Step 1

Combine the numerators over the common denominator.

$\frac{3 x + 3 y + 3 x - 3 y}{20 x y}$

Step 2

Combine the opposite terms in $3 x + 3 y + 3 x - 3 y$ .

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Step 2.1

Subtract $3 y$ from $3 y$ .

$\frac{3 x + 3 x + 0}{20 x y}$

Step 2.2

Add $3 x + 3 x$ and $0$ .

$\frac{3 x + 3 x}{20 x y}$

Step 3

Add $3 x$ and $3 x$ .

$\frac{6 x}{20 x y}$

Step 4

Cancel the common factor of $6$ and $20$ .

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Step 4.1

Factor $2$ out of $6 x$ .

$\frac{2 (3 x)}{20 x y}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $2$ out of $20 x y$ .

$\frac{2 (3 x)}{2 (10 x y)}$

Step 4.2.2

Cancel the common factor.

$\frac{2 (3 x)}{2 (10 x y)}$

Step 4.2.3

Rewrite the expression.

$\frac{3 x}{10 x y}$

Step 5

Cancel the common factor of $x$ .

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Step 5.1

Cancel the common factor.

$\frac{3 x}{10 x y}$

Step 5.2

Rewrite the expression.

$\frac{3}{10 y}$