Algebra Examples

$\frac{10}{w} - \frac{1}{3}$

Step 1

To write $\frac{10}{w}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{10}{w} \cdot \frac{3}{3} - \frac{1}{3}$

Step 2

To write $- \frac{1}{3}$ as a fraction with a common denominator, multiply by $\frac{w}{w}$ .

$\frac{10}{w} \cdot \frac{3}{3} - \frac{1}{3} \cdot \frac{w}{w}$

Step 3

Write each expression with a common denominator of $w \cdot 3$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{10}{w}$ by $\frac{3}{3}$ .

$\frac{10 \cdot 3}{w \cdot 3} - \frac{1}{3} \cdot \frac{w}{w}$

Step 3.2

Multiply $\frac{1}{3}$ by $\frac{w}{w}$ .

$\frac{10 \cdot 3}{w \cdot 3} - \frac{w}{3 w}$

Step 3.3

Reorder the factors of $w \cdot 3$ .

$\frac{10 \cdot 3}{3 w} - \frac{w}{3 w}$

Step 4

Combine the numerators over the common denominator.

$\frac{10 \cdot 3 - w}{3 w}$

Step 5

Multiply $10$ by $3$ .

$\frac{30 - w}{3 w}$