Basic Math Examples

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

Step 1

Convert $1 \frac{1}{3}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

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

Step 1.2

Add $1$ and $\frac{1}{3}$ .

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Step 1.2.1

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

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

Step 1.2.2

Combine the numerators over the common denominator.

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

Step 1.2.3

Add $3$ and $1$ .

$\frac{1}{- 2} + \frac{4}{3}$

Step 2

Move the negative in front of the fraction.

$- \frac{1}{2} + \frac{4}{3}$

Step 3

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

$- \frac{1}{2} \cdot \frac{3}{3} + \frac{4}{3}$

Step 4

To write $\frac{4}{3}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- \frac{1}{2} \cdot \frac{3}{3} + \frac{4}{3} \cdot \frac{2}{2}$

Step 5

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

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Step 5.1

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

$- \frac{3}{2 \cdot 3} + \frac{4}{3} \cdot \frac{2}{2}$

Step 5.2

Multiply $2$ by $3$ .

$- \frac{3}{6} + \frac{4}{3} \cdot \frac{2}{2}$

Step 5.3

Multiply $\frac{4}{3}$ by $\frac{2}{2}$ .

$- \frac{3}{6} + \frac{4 \cdot 2}{3 \cdot 2}$

Step 5.4

Multiply $3$ by $2$ .

$- \frac{3}{6} + \frac{4 \cdot 2}{6}$

Step 6

Combine the numerators over the common denominator.

$\frac{- 3 + 4 \cdot 2}{6}$

Step 7

Simplify the numerator.

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Step 7.1

Multiply $4$ by $2$ .

$\frac{- 3 + 8}{6}$

Step 7.2

Add $- 3$ and $8$ .

$\frac{5}{6}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{6}$

Decimal Form:

$0.8\overline{3}$