Solve for T 3/4T=13

$\frac{3}{4} T = 13$

Step 1

Multiply both sides of the equation by $\frac{4}{3}$ .

$\frac{4}{3} (\frac{3}{4} T) = \frac{4}{3} \cdot 13$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{4}{3} (\frac{3}{4} T)$ .

Combine $\frac{3}{4}$ and $T$ .

$\frac{4}{3} \cdot \frac{3 T}{4} = \frac{4}{3} \cdot 13$

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4}{3} \cdot \frac{3 T}{4} = \frac{4}{3} \cdot 13$

Rewrite the expression.

$\frac{1}{3} (3 T) = \frac{4}{3} \cdot 13$

Cancel the common factor of $3$ .

Factor $3$ out of $3 T$ .

$\frac{1}{3} (3 (T)) = \frac{4}{3} \cdot 13$

Cancel the common factor.

$\frac{1}{3} (3 T) = \frac{4}{3} \cdot 13$

Rewrite the expression.

$T = \frac{4}{3} \cdot 13$

Simplify the right side.

Multiply $\frac{4}{3} \cdot 13$ .

Combine $\frac{4}{3}$ and $13$ .

$T = \frac{4 \cdot 13}{3}$

Multiply $4$ by $13$ .

$T = \frac{52}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$T = \frac{52}{3}$

Decimal Form:

$T = 17.\overline{3}$

Mixed Number Form:

$T = 17 \frac{1}{3}$