Solve for t -t/7=1/15

$- \frac{t}{7} = \frac{1}{15}$

Step 1

Multiply both sides of the equation by $- 7$ .

$- 7 (- \frac{t}{7}) = - 7 (\frac{1}{15})$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 7 (- \frac{t}{7})$ .

Cancel the common factor of $7$ .

Move the leading negative in $- \frac{t}{7}$ into the numerator.

$- 7 \frac{- t}{7} = - 7 (\frac{1}{15})$

Factor $7$ out of $- 7$ .

$7 (- 1) \frac{- t}{7} = - 7 (\frac{1}{15})$

Cancel the common factor.

$7 \cdot - 1 \frac{- t}{7} = - 7 (\frac{1}{15})$

Rewrite the expression.

$- - t = - 7 (\frac{1}{15})$

$- - t = - 7 (\frac{1}{15})$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 t = - 7 (\frac{1}{15})$

Multiply $t$ by $1$ .

$t = - 7 (\frac{1}{15})$

$t = - 7 (\frac{1}{15})$

$t = - 7 (\frac{1}{15})$

$t = - 7 (\frac{1}{15})$

Simplify the right side.

Simplify $- 7 (\frac{1}{15})$ .

Combine $- 7$ and $\frac{1}{15}$ .

$t = \frac{- 7}{15}$

Move the negative in front of the fraction.

$t = - \frac{7}{15}$

$t = - \frac{7}{15}$

$t = - \frac{7}{15}$

$t = - \frac{7}{15}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$t = - \frac{7}{15}$

Decimal Form:

$t = - 0.4\overline{6}$

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