Basic Math Examples

\frac{12}{4} - \frac{17}{- 4}

$\frac{12}{4} - \frac{17}{- 4}$

Step 1

Simplify each term.

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Step 1.1

Divide

12

$12$ by

4

$4$ .

3 - \frac{17}{- 4}

$3 - \frac{17}{- 4}$

Step 1.2

Move the negative in front of the fraction.

3 - - \frac{17}{4}

$3 - - \frac{17}{4}$

Step 1.3

Multiply

- - \frac{17}{4}

$- - \frac{17}{4}$ .

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Step 1.3.1

Multiply

- 1

$- 1$ by

- 1

$- 1$ .

3 + 1 (\frac{17}{4})

$3 + 1 (\frac{17}{4})$

Step 1.3.2

Multiply

\frac{17}{4}

$\frac{17}{4}$ by

1

$1$ .

3 + \frac{17}{4}

$3 + \frac{17}{4}$

3 + \frac{17}{4}

$3 + \frac{17}{4}$

3 + \frac{17}{4}

$3 + \frac{17}{4}$

Step 2

To write

3

$3$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

3 \cdot \frac{4}{4} + \frac{17}{4}

$3 \cdot \frac{4}{4} + \frac{17}{4}$

Step 3

Combine

3

$3$ and

\frac{4}{4}

$\frac{4}{4}$ .

\frac{3 \cdot 4}{4} + \frac{17}{4}

$\frac{3 \cdot 4}{4} + \frac{17}{4}$

Step 4

Combine the numerators over the common denominator.

\frac{3 \cdot 4 + 17}{4}

$\frac{3 \cdot 4 + 17}{4}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

3

$3$ by

4

$4$ .

\frac{12 + 17}{4}

$\frac{12 + 17}{4}$

Step 5.2

Add

12

$12$ and

17

$17$ .

\frac{29}{4}

$\frac{29}{4}$

\frac{29}{4}

$\frac{29}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{29}{4}

$\frac{29}{4}$

Decimal Form:

7.25

$7.25$

Mixed Number Form:

7 \frac{1}{4}

$7 \frac{1}{4}$