Basic Math Examples

\frac{- 11}{2} + \frac{- 11}{4}

$\frac{- 11}{2} + \frac{- 11}{4}$

Step 1

Simplify each term.

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Step 1.1

Move the negative in front of the fraction.

- \frac{11}{2} + \frac{- 11}{4}

$- \frac{11}{2} + \frac{- 11}{4}$

Step 1.2

Move the negative in front of the fraction.

- \frac{11}{2} - \frac{11}{4}

$- \frac{11}{2} - \frac{11}{4}$

- \frac{11}{2} - \frac{11}{4}

$- \frac{11}{2} - \frac{11}{4}$

Step 2

To write

- \frac{11}{2}

$- \frac{11}{2}$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

- \frac{11}{2} \cdot \frac{2}{2} - \frac{11}{4}

$- \frac{11}{2} \cdot \frac{2}{2} - \frac{11}{4}$

Step 3

Write each expression with a common denominator of

4

$4$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 3.1

Multiply

\frac{11}{2}

$\frac{11}{2}$ by

\frac{2}{2}

$\frac{2}{2}$ .

- \frac{11 \cdot 2}{2 \cdot 2} - \frac{11}{4}

$- \frac{11 \cdot 2}{2 \cdot 2} - \frac{11}{4}$

Step 3.2

Multiply

2

$2$ by

2

$2$ .

- \frac{11 \cdot 2}{4} - \frac{11}{4}

$- \frac{11 \cdot 2}{4} - \frac{11}{4}$

- \frac{11 \cdot 2}{4} - \frac{11}{4}

$- \frac{11 \cdot 2}{4} - \frac{11}{4}$

Step 4

Combine the numerators over the common denominator.

\frac{- 11 \cdot 2 - 11}{4}

$\frac{- 11 \cdot 2 - 11}{4}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

- 11

$- 11$ by

2

$2$ .

\frac{- 22 - 11}{4}

$\frac{- 22 - 11}{4}$

Step 5.2

Subtract

11

$11$ from

- 22

$- 22$ .

\frac{- 33}{4}

$\frac{- 33}{4}$

\frac{- 33}{4}

$\frac{- 33}{4}$

Step 6

Move the negative in front of the fraction.

- \frac{33}{4}

$- \frac{33}{4}$

Step 7

The result can be shown in multiple forms.

Exact Form:

- \frac{33}{4}

$- \frac{33}{4}$

Decimal Form:

- 8.25

$- 8.25$

Mixed Number Form:

- 8 \frac{1}{4}

$- 8 \frac{1}{4}$