Basic Math Examples

(- \frac{15}{4}) - 4

$(- \frac{15}{4}) - 4$

Step 1

To write

- 4

$- 4$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

- \frac{15}{4} - 4 \cdot \frac{4}{4}

$- \frac{15}{4} - 4 \cdot \frac{4}{4}$

Step 2

Combine

- 4

$- 4$ and

\frac{4}{4}

$\frac{4}{4}$ .

- \frac{15}{4} + \frac{- 4 \cdot 4}{4}

$- \frac{15}{4} + \frac{- 4 \cdot 4}{4}$

Step 3

Combine the numerators over the common denominator.

\frac{- 15 - 4 \cdot 4}{4}

$\frac{- 15 - 4 \cdot 4}{4}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply

- 4

$- 4$ by

4

$4$ .

\frac{- 15 - 16}{4}

$\frac{- 15 - 16}{4}$

Step 4.2

Subtract

16

$16$ from

- 15

$- 15$ .

\frac{- 31}{4}

$\frac{- 31}{4}$

\frac{- 31}{4}

$\frac{- 31}{4}$

Step 5

Move the negative in front of the fraction.

- \frac{31}{4}

$- \frac{31}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

- \frac{31}{4}

$- \frac{31}{4}$

Decimal Form:

- 7.75

$- 7.75$

Mixed Number Form:

- 7 \frac{3}{4}

$- 7 \frac{3}{4}$