Pre-Algebra Examples

$- \frac{5}{6} + \frac{1}{3}$

Step 1

To write $\frac{1}{3}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- \frac{5}{6} + \frac{1}{3} \cdot \frac{2}{2}$

Step 2

Write each expression with a common denominator of $6$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{1}{3}$ by $\frac{2}{2}$ .

$- \frac{5}{6} + \frac{2}{3 \cdot 2}$

Step 2.2

Multiply $3$ by $2$ .

$- \frac{5}{6} + \frac{2}{6}$

Step 3

Simplify the expression.

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Step 3.1

Combine the numerators over the common denominator.

$\frac{- 5 + 2}{6}$

Step 3.2

Add $- 5$ and $2$ .

$\frac{- 3}{6}$

Step 4

Cancel the common factor of $- 3$ and $6$ .

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Step 4.1

Factor $3$ out of $- 3$ .

$\frac{3 (- 1)}{6}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $3$ out of $6$ .

$\frac{3 \cdot - 1}{3 \cdot 2}$

Step 4.2.2

Cancel the common factor.

$\frac{3 \cdot - 1}{3 \cdot 2}$

Step 4.2.3

Rewrite the expression.

$\frac{- 1}{2}$

Step 5

Move the negative in front of the fraction.

$- \frac{1}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{2}$

Decimal Form:

$- 0.5$