Calculus Examples

$\frac{5}{w} + \frac{1}{w^{2}}$

Step 1

To write $\frac{5}{w}$ as a fraction with a common denominator, multiply by $\frac{w}{w}$ .

$\frac{5}{w} \cdot \frac{w}{w} + \frac{1}{w^{2}}$

Step 2

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

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Step 2.1

Multiply $\frac{5}{w}$ by $\frac{w}{w}$ .

$\frac{5 w}{w \cdot w} + \frac{1}{w^{2}}$

Step 2.2

Multiply $w$ by $w$ .

$\frac{5 w}{w^{2}} + \frac{1}{w^{2}}$

Step 3

Combine the numerators over the common denominator.

$\frac{5 w + 1}{w^{2}}$