Solve for t -7/4=2/5t

$- \frac{7}{4} = \frac{2}{5} t$

Rewrite the equation as $\frac{2}{5} t = - \frac{7}{4}$ .

$\frac{2}{5} t = - \frac{7}{4}$

Multiply both sides of the equation by $\frac{5}{2}$ .

$\frac{5}{2} (\frac{2}{5} t) = \frac{5}{2} (- \frac{7}{4})$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{5}{2} (\frac{2}{5} t)$ .

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

$\frac{5}{2} \cdot \frac{2 t}{5} = \frac{5}{2} (- \frac{7}{4})$

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5}{2} \cdot \frac{2 t}{5} = \frac{5}{2} (- \frac{7}{4})$

Rewrite the expression.

$\frac{1}{2} (2 t) = \frac{5}{2} (- \frac{7}{4})$

Cancel the common factor of $2$ .

Factor $2$ out of $2 t$ .

$\frac{1}{2} (2 (t)) = \frac{5}{2} (- \frac{7}{4})$

Cancel the common factor.

$\frac{1}{2} (2 t) = \frac{5}{2} (- \frac{7}{4})$

Rewrite the expression.

$t = \frac{5}{2} (- \frac{7}{4})$

Simplify the right side.

Multiply $\frac{5}{2} (- \frac{7}{4})$ .

Multiply $\frac{5}{2}$ by $\frac{7}{4}$ .

$t = - \frac{5 \cdot 7}{2 \cdot 4}$

Multiply $5$ by $7$ .

$t = - \frac{35}{2 \cdot 4}$

Multiply $2$ by $4$ .

$t = - \frac{35}{8}$

The result can be shown in multiple forms.

Exact Form:

$t = - \frac{35}{8}$

Decimal Form:

$t = - 4.375$

Mixed Number Form:

$t = - 4 \frac{3}{8}$