Basic Math Examples

- 2 \frac{4}{16}

$- 2 \frac{4}{16}$

Step 1

Convert

2 \frac{4}{16}

$2 \frac{4}{16}$ to an improper fraction.

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Step 1.1

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

- (2 + \frac{4}{16})

$- (2 + \frac{4}{16})$

Step 1.2

Add

2

$2$ and

\frac{4}{16}

$\frac{4}{16}$ .

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Step 1.2.1

To write

2

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

\frac{16}{16}

$\frac{16}{16}$ .

- (2 \cdot \frac{16}{16} + \frac{4}{16})

$- (2 \cdot \frac{16}{16} + \frac{4}{16})$

Step 1.2.2

Combine

2

$2$ and

\frac{16}{16}

$\frac{16}{16}$ .

- (\frac{2 \cdot 16}{16} + \frac{4}{16})

$- (\frac{2 \cdot 16}{16} + \frac{4}{16})$

Step 1.2.3

Combine the numerators over the common denominator.

- \frac{2 \cdot 16 + 4}{16}

$- \frac{2 \cdot 16 + 4}{16}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

16

$16$ .

- \frac{32 + 4}{16}

$- \frac{32 + 4}{16}$

Step 1.2.4.2

Add

32

$32$ and

4

$4$ .

- \frac{36}{16}

$- \frac{36}{16}$

- \frac{36}{16}

$- \frac{36}{16}$

- \frac{36}{16}

$- \frac{36}{16}$

- \frac{36}{16}

$- \frac{36}{16}$

Step 2

Cancel the common factor of

36

$36$ and

16

$16$ .

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Step 2.1

Factor

4

$4$ out of

36

$36$ .

- \frac{4 (9)}{16}

$- \frac{4 (9)}{16}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor

4

$4$ out of

16

$16$ .

- \frac{4 \cdot 9}{4 \cdot 4}

$- \frac{4 \cdot 9}{4 \cdot 4}$

Step 2.2.2

Cancel the common factor.

$- \frac{4 \cdot 9}{4 \cdot 4}$

Step 2.2.3

Rewrite the expression.

$- \frac{9}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{9}{4}$

Decimal Form:

$- 2.25$

Mixed Number Form:

$- 2 \frac{1}{4}$