Basic Math Examples

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

Step 1

Move all terms not containing $a$ to the right side of the equation.

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Step 1.1

Add $1$ to both sides of the equation.

$- a = \frac{1}{3} + 1$

Step 1.2

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

$- a = \frac{1}{3} + \frac{3}{3}$

Step 1.3

Combine the numerators over the common denominator.

$- a = \frac{1 + 3}{3}$

Step 1.4

Add $1$ and $3$ .

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

Step 2

Divide each term in $- a = \frac{4}{3}$ by $- 1$ and simplify.

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Step 2.1

Divide each term in $- a = \frac{4}{3}$ by $- 1$ .

$\frac{- a}{- 1} = \frac{\frac{4}{3}}{- 1}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Dividing two negative values results in a positive value.

$\frac{a}{1} = \frac{\frac{4}{3}}{- 1}$

Step 2.2.2

Divide $a$ by $1$ .

$a = \frac{\frac{4}{3}}{- 1}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Move the negative one from the denominator of $\frac{\frac{4}{3}}{- 1}$ .

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

Step 2.3.2

Rewrite $- 1 \cdot \frac{4}{3}$ as $- \frac{4}{3}$ .

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

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

Mixed Number Form:

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