Solve for t t÷(5/12)=-3/10

$t \div \frac{5}{12} = - \frac{3}{10}$

Multiply both sides of the equation by $\frac{5}{12}$ .

$\frac{5}{12} \cdot t \div \frac{5}{12} = \frac{5}{12} (- \frac{3}{10})$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{5}{12} \cdot t \div \frac{5}{12}$ .

To divide by a fraction, multiply by its reciprocal.

$\frac{5}{12} (t \frac{12}{5}) = \frac{5}{12} (- \frac{3}{10})$

Combine $t$ and $\frac{12}{5}$ .

$\frac{5}{12} \cdot \frac{t \cdot 12}{5} = \frac{5}{12} (- \frac{3}{10})$

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5}{12} \cdot \frac{t \cdot 12}{5} = \frac{5}{12} (- \frac{3}{10})$

Rewrite the expression.

$\frac{1}{12} (t \cdot 12) = \frac{5}{12} (- \frac{3}{10})$

Cancel the common factor of $12$ .

Factor $12$ out of $t \cdot 12$ .

$\frac{1}{12} (12 \cdot t) = \frac{5}{12} (- \frac{3}{10})$

Cancel the common factor.

$\frac{1}{12} (12 \cdot t) = \frac{5}{12} (- \frac{3}{10})$

Rewrite the expression.

$t = \frac{5}{12} (- \frac{3}{10})$

Simplify the right side.

Simplify $\frac{5}{12} (- \frac{3}{10})$ .

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{3}{10}$ into the numerator.

$t = \frac{5}{12} \cdot \frac{- 3}{10}$

Factor $5$ out of $10$ .

$t = \frac{5}{12} \cdot \frac{- 3}{5 (2)}$

Cancel the common factor.

$t = \frac{5}{12} \cdot \frac{- 3}{5 \cdot 2}$

Rewrite the expression.

$t = \frac{1}{12} \cdot \frac{- 3}{2}$

Cancel the common factor of $3$ .

Factor $3$ out of $12$ .

$t = \frac{1}{3 (4)} \cdot \frac{- 3}{2}$

Factor $3$ out of $- 3$ .

$t = \frac{1}{3 \cdot 4} \cdot \frac{3 \cdot - 1}{2}$

Cancel the common factor.

$t = \frac{1}{3 \cdot 4} \cdot \frac{3 \cdot - 1}{2}$

Rewrite the expression.

$t = \frac{1}{4} \cdot \frac{- 1}{2}$

Multiply $\frac{1}{4}$ by $\frac{- 1}{2}$ .

$t = \frac{- 1}{4 \cdot 2}$

Simplify the expression.

Multiply $4$ by $2$ .

$t = \frac{- 1}{8}$

Move the negative in front of the fraction.

$t = - \frac{1}{8}$

The result can be shown in multiple forms.

Exact Form:

$t = - \frac{1}{8}$

Decimal Form:

$t = - 0.125$

Solve for t t÷(5/12)=-3/10

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