Basic Math Examples

$\frac{- 8}{9} c = - 24$

Step 1

Multiply both sides of the equation by $\frac{9}{- 8}$ .

$\frac{9}{- 8} (\frac{- 8}{9} c) = \frac{9}{- 8} \cdot - 24$

Step 2

Simplify both sides of the equation.

Tap for more steps...

Step 2.1

Simplify the left side.

Tap for more steps...

Step 2.1.1

Simplify $\frac{9}{- 8} (\frac{- 8}{9} c)$ .

Tap for more steps...

Step 2.1.1.1

Simplify the expression.

Tap for more steps...

Step 2.1.1.1.1

Move the negative in front of the fraction.

$- \frac{9}{8} (\frac{- 8}{9} c) = \frac{9}{- 8} \cdot - 24$

Step 2.1.1.1.2

Move the negative in front of the fraction.

$- \frac{9}{8} (- \frac{8}{9} c) = \frac{9}{- 8} \cdot - 24$

Step 2.1.1.2

Combine $c$ and $\frac{8}{9}$ .

$- \frac{9}{8} (- \frac{c \cdot 8}{9}) = \frac{9}{- 8} \cdot - 24$

Step 2.1.1.3

Cancel the common factor of $9$ .

Tap for more steps...

Step 2.1.1.3.1

Move the leading negative in $- \frac{9}{8}$ into the numerator.

$\frac{- 9}{8} (- \frac{c \cdot 8}{9}) = \frac{9}{- 8} \cdot - 24$

Step 2.1.1.3.2

Move the leading negative in $- \frac{c \cdot 8}{9}$ into the numerator.

$\frac{- 9}{8} \cdot \frac{- c \cdot 8}{9} = \frac{9}{- 8} \cdot - 24$

Step 2.1.1.3.3

Factor $9$ out of $- 9$ .

$\frac{9 (- 1)}{8} \cdot \frac{- c \cdot 8}{9} = \frac{9}{- 8} \cdot - 24$

Step 2.1.1.3.4

Cancel the common factor.

$\frac{9 \cdot - 1}{8} \cdot \frac{- c \cdot 8}{9} = \frac{9}{- 8} \cdot - 24$

Step 2.1.1.3.5

Rewrite the expression.

$\frac{- 1}{8} (- c \cdot 8) = \frac{9}{- 8} \cdot - 24$

Step 2.1.1.4

Cancel the common factor of $8$ .

Tap for more steps...

Step 2.1.1.4.1

Factor $8$ out of $- c \cdot 8$ .

$\frac{- 1}{8} (8 \cdot (- c)) = \frac{9}{- 8} \cdot - 24$

Step 2.1.1.4.2

Cancel the common factor.

$\frac{- 1}{8} (8 \cdot (- c)) = \frac{9}{- 8} \cdot - 24$

Step 2.1.1.4.3

Rewrite the expression.

$- - c = \frac{9}{- 8} \cdot - 24$

Step 2.1.1.5

Multiply.

Tap for more steps...

Step 2.1.1.5.1

Multiply $- 1$ by $- 1$ .

$1 c = \frac{9}{- 8} \cdot - 24$

Step 2.1.1.5.2

Multiply $c$ by $1$ .

$c = \frac{9}{- 8} \cdot - 24$

Step 2.2

Simplify the right side.

Tap for more steps...

Step 2.2.1

Simplify $\frac{9}{- 8} \cdot - 24$ .

Tap for more steps...

Step 2.2.1.1

Cancel the common factor of $8$ .

Tap for more steps...

Step 2.2.1.1.1

Factor $8$ out of $- 8$ .

$c = \frac{9}{8 (- 1)} \cdot - 24$

Step 2.2.1.1.2

Factor $8$ out of $- 24$ .

$c = \frac{9}{8 \cdot - 1} \cdot (8 \cdot - 3)$

Step 2.2.1.1.3

Cancel the common factor.

$c = \frac{9}{8 \cdot - 1} \cdot (8 \cdot - 3)$

Step 2.2.1.1.4

Rewrite the expression.

$c = \frac{9}{- 1} \cdot - 3$

Step 2.2.1.2

Combine $\frac{9}{- 1}$ and $- 3$ .

$c = \frac{9 \cdot - 3}{- 1}$

Step 2.2.1.3

Simplify the expression.

Tap for more steps...

Step 2.2.1.3.1

Multiply $9$ by $- 3$ .

$c = \frac{- 27}{- 1}$

Step 2.2.1.3.2

Divide $- 27$ by $- 1$ .

$c = 27$