Solve for t t*2/5=3/25

$t \cdot \frac{2}{5} = \frac{3}{25}$

Step 1

Combine $t$ and $\frac{2}{5}$ .

$\frac{t \cdot 2}{5} = \frac{3}{25}$

Step 2

Multiply each term in $\frac{t \cdot 2}{5} = \frac{3}{25}$ by $\frac{5}{2}$ to eliminate the fractions.

Multiply each term in $\frac{t \cdot 2}{5} = \frac{3}{25}$ by $\frac{5}{2}$ .

$\frac{t \cdot 2}{5} \cdot \frac{5}{2} = \frac{3}{25} \cdot \frac{5}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

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

$\frac{2 \cdot t}{5} \cdot \frac{5}{2} = \frac{3}{25} \cdot \frac{5}{2}$

Cancel the common factor.

$\frac{2 \cdot t}{5} \cdot \frac{5}{2} = \frac{3}{25} \cdot \frac{5}{2}$

Rewrite the expression.

$\frac{t}{5} \cdot 5 = \frac{3}{25} \cdot \frac{5}{2}$

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{t}{5} \cdot 5 = \frac{3}{25} \cdot \frac{5}{2}$

Rewrite the expression.

$t = \frac{3}{25} \cdot \frac{5}{2}$

Simplify the right side.

Cancel the common factor of $5$ .

Factor $5$ out of $25$ .

$t = \frac{3}{5 (5)} \cdot \frac{5}{2}$

Cancel the common factor.

$t = \frac{3}{5 \cdot 5} \cdot \frac{5}{2}$

Rewrite the expression.

$t = \frac{3}{5} \cdot \frac{1}{2}$

Multiply $\frac{3}{5}$ by $\frac{1}{2}$ .

$t = \frac{3}{5 \cdot 2}$

Multiply $5$ by $2$ .

$t = \frac{3}{10}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$t = \frac{3}{10}$

Decimal Form:

$t = 0.3$