Simplify t/6-t/10

$\frac{t}{6} - \frac{t}{10}$

To write $\frac{t}{6}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{t}{6} \cdot \frac{5}{5} - \frac{t}{10}$

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

$\frac{t}{6} \cdot \frac{5}{5} - \frac{t}{10} \cdot \frac{3}{3}$

Write each expression with a common denominator of $30$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{t}{6}$ by $\frac{5}{5}$ .

$\frac{t \cdot 5}{6 \cdot 5} - \frac{t}{10} \cdot \frac{3}{3}$

Multiply $6$ by $5$ .

$\frac{t \cdot 5}{30} - \frac{t}{10} \cdot \frac{3}{3}$

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

$\frac{t \cdot 5}{30} - \frac{t \cdot 3}{10 \cdot 3}$

Multiply $10$ by $3$ .

$\frac{t \cdot 5}{30} - \frac{t \cdot 3}{30}$

Combine the numerators over the common denominator.

$\frac{t \cdot 5 - t \cdot 3}{30}$

Simplify the numerator.

Factor $t$ out of $t \cdot 5 - t \cdot 3$ .

Factor $t$ out of $t \cdot 5$ .

$\frac{t (5) - t \cdot 3}{30}$

Factor $t$ out of $- t \cdot 3$ .

$\frac{t (5) + t (- 1 \cdot 3)}{30}$

Factor $t$ out of $t (5) + t (- 1 \cdot 3)$ .

$\frac{t (5 - 1 \cdot 3)}{30}$

Multiply $- 1$ by $3$ .

$\frac{t (5 - 3)}{30}$

Subtract $3$ from $5$ .

$\frac{t \cdot 2}{30}$

Cancel the common factor of $2$ and $30$ .

Factor $2$ out of $t \cdot 2$ .

$\frac{2 \cdot t}{30}$

Cancel the common factors.

Factor $2$ out of $30$ .

$\frac{2 \cdot t}{2 \cdot 15}$

Cancel the common factor.

$\frac{2 \cdot t}{2 \cdot 15}$

Rewrite the expression.

$\frac{t}{15}$