Basic Math Examples

$\frac{1}{2} + \frac{13}{8} - \frac{11}{2}$

Step 1

Combine the numerators over the common denominator.

$\frac{1 - 11}{2} + \frac{13}{8}$

Step 2

Simplify the expression.

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Step 2.1

Subtract $11$ from $1$ .

$\frac{- 10}{2} + \frac{13}{8}$

Step 2.2

Divide $- 10$ by $2$ .

$- 5 + \frac{13}{8}$

Step 3

To write $- 5$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$- 5 \cdot \frac{8}{8} + \frac{13}{8}$

Step 4

Combine $- 5$ and $\frac{8}{8}$ .

$\frac{- 5 \cdot 8}{8} + \frac{13}{8}$

Step 5

Combine the numerators over the common denominator.

$\frac{- 5 \cdot 8 + 13}{8}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $- 5$ by $8$ .

$\frac{- 40 + 13}{8}$

Step 6.2

Add $- 40$ and $13$ .

$\frac{- 27}{8}$

Step 7

Move the negative in front of the fraction.

$- \frac{27}{8}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{27}{8}$

Decimal Form:

$- 3.375$

Mixed Number Form:

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