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Combine 2/w+7/(w^2)

$\frac{2}{w} + \frac{7}{w^{2}}$

Step 1

To write $\frac{2}{w}$ as a fraction with a common denominator, multiply by $\frac{w}{w}$ .

$\frac{2}{w} \cdot \frac{w}{w} + \frac{7}{w^{2}}$

Step 2

Write each expression with a common denominator of $w^{2}$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{2}{w}$ by $\frac{w}{w}$ .

$\frac{2 w}{w \cdot w} + \frac{7}{w^{2}}$

Multiply $w$ by $w$ .

$\frac{2 w}{w^{2}} + \frac{7}{w^{2}}$

$\frac{2 w}{w^{2}} + \frac{7}{w^{2}}$

Step 3

Combine the numerators over the common denominator.

$\frac{2 w + 7}{w^{2}}$

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