Solve for k 1 7/15=-11/28k

$1 \frac{7}{15} = - \frac{11}{28} k$

Simplify the left side.

Convert $1 \frac{7}{15}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$1 + \frac{7}{15} = - \frac{11}{28} k$

Add $1$ and $\frac{7}{15}$ .

Write $1$ as a fraction with a common denominator.

$\frac{15}{15} + \frac{7}{15} = - \frac{11}{28} k$

Combine the numerators over the common denominator.

$\frac{15 + 7}{15} = - \frac{11}{28} k$

Add $15$ and $7$ .

$\frac{22}{15} = - \frac{11}{28} k$

Simplify the right side.

Simplify $- \frac{11}{28} k$ .

Combine $k$ and $\frac{11}{28}$ .

$\frac{22}{15} = - \frac{k \cdot 11}{28}$

Move $11$ to the left of $k$ .

$\frac{22}{15} = - \frac{11 k}{28}$

Rewrite the equation as $- \frac{11 k}{28} = \frac{22}{15}$ .

$- \frac{11 k}{28} = \frac{22}{15}$

Multiply both sides of the equation by $- \frac{28}{11}$ .

$- \frac{28}{11} (- \frac{11 k}{28}) = - \frac{28}{11} \cdot \frac{22}{15}$

Simplify both sides of the equation.

Simplify the left side.

Simplify $- \frac{28}{11} (- \frac{11 k}{28})$ .

Cancel the common factor of $28$ .

Move the leading negative in $- \frac{28}{11}$ into the numerator.

$\frac{- 28}{11} (- \frac{11 k}{28}) = - \frac{28}{11} \cdot \frac{22}{15}$

Move the leading negative in $- \frac{11 k}{28}$ into the numerator.

$\frac{- 28}{11} \cdot \frac{- 11 k}{28} = - \frac{28}{11} \cdot \frac{22}{15}$

Factor $28$ out of $- 28$ .

$\frac{28 (- 1)}{11} \cdot \frac{- 11 k}{28} = - \frac{28}{11} \cdot \frac{22}{15}$

Cancel the common factor.

$\frac{28 \cdot - 1}{11} \cdot \frac{- 11 k}{28} = - \frac{28}{11} \cdot \frac{22}{15}$

Rewrite the expression.

$\frac{- 1}{11} (- 11 k) = - \frac{28}{11} \cdot \frac{22}{15}$

Cancel the common factor of $11$ .

Factor $11$ out of $- 11 k$ .

$\frac{- 1}{11} (11 (- k)) = - \frac{28}{11} \cdot \frac{22}{15}$

Cancel the common factor.

$\frac{- 1}{11} (11 (- k)) = - \frac{28}{11} \cdot \frac{22}{15}$

Rewrite the expression.

$- - k = - \frac{28}{11} \cdot \frac{22}{15}$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 k = - \frac{28}{11} \cdot \frac{22}{15}$

Multiply $k$ by $1$ .

$k = - \frac{28}{11} \cdot \frac{22}{15}$

Simplify the right side.

Simplify $- \frac{28}{11} \cdot \frac{22}{15}$ .

Cancel the common factor of $11$ .

Move the leading negative in $- \frac{28}{11}$ into the numerator.

$k = \frac{- 28}{11} \cdot \frac{22}{15}$

Factor $11$ out of $22$ .

$k = \frac{- 28}{11} \cdot \frac{11 (2)}{15}$

Cancel the common factor.

$k = \frac{- 28}{11} \cdot \frac{11 \cdot 2}{15}$

Rewrite the expression.

$k = - 28 (\frac{2}{15})$

Combine $- 28$ and $\frac{2}{15}$ .

$k = \frac{- 28 \cdot 2}{15}$

Simplify the expression.

Multiply $- 28$ by $2$ .

$k = \frac{- 56}{15}$

Move the negative in front of the fraction.

$k = - \frac{56}{15}$

The result can be shown in multiple forms.

Exact Form:

$k = - \frac{56}{15}$

Decimal Form:

$k = - 3.7\overline{3}$

Mixed Number Form:

$k = - 3 \frac{11}{15}$

Solve for k 1 7/15=-11/28k

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