Basic Math Examples

- 24 \div (- 2 \frac{1}{2})

$- 24 \div (- 2 \frac{1}{2})$

Step 1

Convert

2 \frac{1}{2}

$2 \frac{1}{2}$ to an improper fraction.

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Step 1.1

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

- 24 \div (- (2 + \frac{1}{2}))

$- 24 \div (- (2 + \frac{1}{2}))$

Step 1.2

Add

2

$2$ and

\frac{1}{2}

$\frac{1}{2}$ .

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Step 1.2.1

To write

2

$2$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

- 24 \div (- (2 \cdot \frac{2}{2} + \frac{1}{2}))

$- 24 \div (- (2 \cdot \frac{2}{2} + \frac{1}{2}))$

Step 1.2.2

Combine

2

$2$ and

\frac{2}{2}

$\frac{2}{2}$ .

- 24 \div (- (\frac{2 \cdot 2}{2} + \frac{1}{2}))

$- 24 \div (- (\frac{2 \cdot 2}{2} + \frac{1}{2}))$

Step 1.2.3

Combine the numerators over the common denominator.

- 24 \div (- \frac{2 \cdot 2 + 1}{2})

$- 24 \div (- \frac{2 \cdot 2 + 1}{2})$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

2

$2$ .

- 24 \div (- \frac{4 + 1}{2})

$- 24 \div (- \frac{4 + 1}{2})$

Step 1.2.4.2

Add

4

$4$ and

1

$1$ .

- 24 \div (- \frac{5}{2})

$- 24 \div (- \frac{5}{2})$

- 24 \div (- \frac{5}{2})

$- 24 \div (- \frac{5}{2})$

- 24 \div (- \frac{5}{2})

$- 24 \div (- \frac{5}{2})$

- 24 \div (- \frac{5}{2})

$- 24 \div (- \frac{5}{2})$

Step 2

To divide by a fraction, multiply by its reciprocal.

- 24 (- \frac{2}{5})

$- 24 (- \frac{2}{5})$

Step 3

Multiply

- 24 (- \frac{2}{5})

$- 24 (- \frac{2}{5})$ .

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Step 3.1

Multiply

- 1

$- 1$ by

- 24

$- 24$ .

24 (\frac{2}{5})

$24 (\frac{2}{5})$

Step 3.2

Combine

24

$24$ and

\frac{2}{5}

$\frac{2}{5}$ .

\frac{24 \cdot 2}{5}

$\frac{24 \cdot 2}{5}$

Step 3.3

Multiply

24

$24$ by

2

$2$ .

\frac{48}{5}

$\frac{48}{5}$

\frac{48}{5}

$\frac{48}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{48}{5}

$\frac{48}{5}$

Decimal Form:

9.6

$9.6$

Mixed Number Form:

9 \frac{3}{5}

$9 \frac{3}{5}$