Solve for t (1/2)(10t)=50000

$(\frac{1}{2}) (10 t) = 50000$

Step 1

Multiply both sides of the equation by $\frac{1}{\frac{1}{2} \cdot 10}$ .

$\frac{1}{\frac{1}{2} \cdot 10} (\frac{1}{2} \cdot (10 t)) = \frac{1}{\frac{1}{2} \cdot 10} \cdot 50000$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{1}{\frac{1}{2} \cdot 10} (\frac{1}{2} \cdot (10 t))$ .

Combine $\frac{1}{2}$ and $10$ .

$\frac{1}{\frac{10}{2}} (\frac{1}{2} \cdot (10 t)) = \frac{1}{\frac{1}{2} \cdot 10} \cdot 50000$

Divide $10$ by $2$ .

$\frac{1}{5} (\frac{1}{2} \cdot (10 t)) = \frac{1}{\frac{1}{2} \cdot 10} \cdot 50000$

Cancel the common factor of $5$ .

Factor $5$ out of $\frac{1}{2} \cdot (10 t)$ .

$\frac{1}{5} (5 (\frac{1}{2} \cdot (2 t))) = \frac{1}{\frac{1}{2} \cdot 10} \cdot 50000$

Cancel the common factor.

$\frac{1}{5} (5 (\frac{1}{2} \cdot (2 t))) = \frac{1}{\frac{1}{2} \cdot 10} \cdot 50000$

Rewrite the expression.

$\frac{1}{2} \cdot (2 t) = \frac{1}{\frac{1}{2} \cdot 10} \cdot 50000$

Combine $2$ and $\frac{1}{2}$ .

$\frac{2}{2} \cdot t = \frac{1}{\frac{1}{2} \cdot 10} \cdot 50000$

Combine $\frac{2}{2}$ and $t$ .

$\frac{2 t}{2} = \frac{1}{\frac{1}{2} \cdot 10} \cdot 50000$

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 t}{2} = \frac{1}{\frac{1}{2} \cdot 10} \cdot 50000$

Divide $t$ by $1$ .

$t = \frac{1}{\frac{1}{2} \cdot 10} \cdot 50000$

Simplify the right side.

Simplify $\frac{1}{\frac{1}{2} \cdot 10} \cdot 50000$ .

Combine $\frac{1}{2}$ and $10$ .

$t = \frac{1}{\frac{10}{2}} \cdot 50000$

Divide $10$ by $2$ .

$t = \frac{1}{5} \cdot 50000$

Cancel the common factor of $5$ .

Factor $5$ out of $50000$ .

$t = \frac{1}{5} \cdot (5 (10000))$

Cancel the common factor.

$t = \frac{1}{5} \cdot (5 \cdot 10000)$

Rewrite the expression.

$t = 10000$