Basic Math Examples

$\frac{3}{8} q = - \frac{1}{2}$

Step 1

Multiply both sides of the equation by $\frac{8}{3}$ .

$\frac{8}{3} (\frac{3}{8} q) = \frac{8}{3} (- \frac{1}{2})$

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 $\frac{8}{3} (\frac{3}{8} q)$ .

Tap for more steps...

Step 2.1.1.1

Combine $\frac{3}{8}$ and $q$ .

$\frac{8}{3} \cdot \frac{3 q}{8} = \frac{8}{3} (- \frac{1}{2})$

Step 2.1.1.2

Cancel the common factor of $8$ .

Tap for more steps...

Step 2.1.1.2.1

Cancel the common factor.

$\frac{8}{3} \cdot \frac{3 q}{8} = \frac{8}{3} (- \frac{1}{2})$

Step 2.1.1.2.2

Rewrite the expression.

$\frac{1}{3} (3 q) = \frac{8}{3} (- \frac{1}{2})$

Step 2.1.1.3

Cancel the common factor of $3$ .

Tap for more steps...

Step 2.1.1.3.1

Factor $3$ out of $3 q$ .

$\frac{1}{3} (3 (q)) = \frac{8}{3} (- \frac{1}{2})$

Step 2.1.1.3.2

Cancel the common factor.

$\frac{1}{3} (3 q) = \frac{8}{3} (- \frac{1}{2})$

Step 2.1.1.3.3

Rewrite the expression.

$q = \frac{8}{3} (- \frac{1}{2})$

Step 2.2

Simplify the right side.

Tap for more steps...

Step 2.2.1

Simplify $\frac{8}{3} (- \frac{1}{2})$ .

Tap for more steps...

Step 2.2.1.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.2.1.1.1

Move the leading negative in $- \frac{1}{2}$ into the numerator.

$q = \frac{8}{3} \cdot \frac{- 1}{2}$

Step 2.2.1.1.2

Factor $2$ out of $8$ .

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

Step 2.2.1.1.3

Cancel the common factor.

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

Step 2.2.1.1.4

Rewrite the expression.

$q = \frac{4}{3} \cdot - 1$

Step 2.2.1.2

Combine $\frac{4}{3}$ and $- 1$ .

$q = \frac{4 \cdot - 1}{3}$

Step 2.2.1.3

Simplify the expression.

Tap for more steps...

Step 2.2.1.3.1

Multiply $4$ by $- 1$ .

$q = \frac{- 4}{3}$

Step 2.2.1.3.2

Move the negative in front of the fraction.

$q = - \frac{4}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$q = - \frac{4}{3}$

Decimal Form:

$q = - 1.\overline{3}$

Mixed Number Form:

$q = - 1 \frac{1}{3}$