Basic Math Examples

\frac{23 \frac{9}{16}}{2}

$\frac{23 \frac{9}{16}}{2}$

Step 1

Convert

23 \frac{9}{16}

$23 \frac{9}{16}$ to an improper fraction.

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Step 1.1

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

\frac{23 + \frac{9}{16}}{2}

$\frac{23 + \frac{9}{16}}{2}$

Step 1.2

Add

23

$23$ and

\frac{9}{16}

$\frac{9}{16}$ .

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Step 1.2.1

To write

23

$23$ as a fraction with a common denominator, multiply by

\frac{16}{16}

$\frac{16}{16}$ .

\frac{23 \cdot \frac{16}{16} + \frac{9}{16}}{2}

$\frac{23 \cdot \frac{16}{16} + \frac{9}{16}}{2}$

Step 1.2.2

Combine

23

$23$ and

\frac{16}{16}

$\frac{16}{16}$ .

\frac{\frac{23 \cdot 16}{16} + \frac{9}{16}}{2}

$\frac{\frac{23 \cdot 16}{16} + \frac{9}{16}}{2}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{\frac{23 \cdot 16 + 9}{16}}{2}

$\frac{\frac{23 \cdot 16 + 9}{16}}{2}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

23

$23$ by

16

$16$ .

\frac{\frac{368 + 9}{16}}{2}

$\frac{\frac{368 + 9}{16}}{2}$

Step 1.2.4.2

Add

368

$368$ and

9

$9$ .

\frac{\frac{377}{16}}{2}

$\frac{\frac{377}{16}}{2}$

\frac{\frac{377}{16}}{2}

$\frac{\frac{377}{16}}{2}$

\frac{\frac{377}{16}}{2}

$\frac{\frac{377}{16}}{2}$

\frac{\frac{377}{16}}{2}

$\frac{\frac{377}{16}}{2}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

\frac{377}{16} \cdot \frac{1}{2}

$\frac{377}{16} \cdot \frac{1}{2}$

Step 3

Multiply

\frac{377}{16} \cdot \frac{1}{2}

$\frac{377}{16} \cdot \frac{1}{2}$ .

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Step 3.1

Multiply

\frac{377}{16}

$\frac{377}{16}$ by

$\frac{1}{2}$ .

$\frac{377}{16 \cdot 2}$

Step 3.2

Multiply

$16$ by

$2$ .

$\frac{377}{32}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{377}{32}$

Decimal Form:

$11.78125$

Mixed Number Form:

$11 \frac{25}{32}$