Basic Math Examples

$c - \frac{1}{2} = - 4$

Step 1

Add $\frac{1}{2}$ to both sides of the equation.

$c = - 4 + \frac{1}{2}$

Step 2

To write $- 4$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$c = - 4 \cdot \frac{2}{2} + \frac{1}{2}$

Step 3

Combine $- 4$ and $\frac{2}{2}$ .

$c = \frac{- 4 \cdot 2}{2} + \frac{1}{2}$

Step 4

Combine the numerators over the common denominator.

$c = \frac{- 4 \cdot 2 + 1}{2}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $- 4$ by $2$ .

$c = \frac{- 8 + 1}{2}$

Step 5.2

Add $- 8$ and $1$ .

$c = \frac{- 7}{2}$

Step 6

Move the negative in front of the fraction.

$c = - \frac{7}{2}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$c = - \frac{7}{2}$

Decimal Form:

$c = - 3.5$

Mixed Number Form:

$c = - 3 \frac{1}{2}$