Basic Math Examples

8 \frac{1}{2} \cdot 8 \frac{1}{2}

$8 \frac{1}{2} \cdot 8 \frac{1}{2}$

Step 1

Convert

8 \frac{1}{2}

$8 \frac{1}{2}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

(8 + \frac{1}{2}) \cdot 8 \frac{1}{2}

$(8 + \frac{1}{2}) \cdot 8 \frac{1}{2}$

Step 1.2

Add

8

$8$ and

\frac{1}{2}

$\frac{1}{2}$ .

Tap for more steps...

Step 1.2.1

To write

8

$8$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

(8 \cdot \frac{2}{2} + \frac{1}{2}) \cdot 8 \frac{1}{2}

$(8 \cdot \frac{2}{2} + \frac{1}{2}) \cdot 8 \frac{1}{2}$

Step 1.2.2

Combine

8

$8$ and

\frac{2}{2}

$\frac{2}{2}$ .

(\frac{8 \cdot 2}{2} + \frac{1}{2}) \cdot 8 \frac{1}{2}

$(\frac{8 \cdot 2}{2} + \frac{1}{2}) \cdot 8 \frac{1}{2}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{8 \cdot 2 + 1}{2} \cdot 8 \frac{1}{2}

$\frac{8 \cdot 2 + 1}{2} \cdot 8 \frac{1}{2}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

8

$8$ by

2

$2$ .

\frac{16 + 1}{2} \cdot 8 \frac{1}{2}

$\frac{16 + 1}{2} \cdot 8 \frac{1}{2}$

Step 1.2.4.2

Add

16

$16$ and

1

$1$ .

\frac{17}{2} \cdot 8 \frac{1}{2}

$\frac{17}{2} \cdot 8 \frac{1}{2}$

\frac{17}{2} \cdot 8 \frac{1}{2}

$\frac{17}{2} \cdot 8 \frac{1}{2}$

\frac{17}{2} \cdot 8 \frac{1}{2}

$\frac{17}{2} \cdot 8 \frac{1}{2}$

\frac{17}{2} \cdot 8 \frac{1}{2}

$\frac{17}{2} \cdot 8 \frac{1}{2}$

Step 2

Convert

8 \frac{1}{2}

$8 \frac{1}{2}$ to an improper fraction.

Tap for more steps...

Step 2.1

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

\frac{17}{2} \cdot (8 + \frac{1}{2})

$\frac{17}{2} \cdot (8 + \frac{1}{2})$

Step 2.2

Add

8

$8$ and

\frac{1}{2}

$\frac{1}{2}$ .

Tap for more steps...

Step 2.2.1

To write

8

$8$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{17}{2} \cdot (8 \cdot \frac{2}{2} + \frac{1}{2})

$\frac{17}{2} \cdot (8 \cdot \frac{2}{2} + \frac{1}{2})$

Step 2.2.2

Combine

8

$8$ and

\frac{2}{2}

$\frac{2}{2}$ .

\frac{17}{2} \cdot (\frac{8 \cdot 2}{2} + \frac{1}{2})

$\frac{17}{2} \cdot (\frac{8 \cdot 2}{2} + \frac{1}{2})$

Step 2.2.3

Combine the numerators over the common denominator.

\frac{17}{2} \cdot \frac{8 \cdot 2 + 1}{2}

$\frac{17}{2} \cdot \frac{8 \cdot 2 + 1}{2}$

Step 2.2.4

Simplify the numerator.

Tap for more steps...

Step 2.2.4.1

Multiply

8

$8$ by

2

$2$ .

\frac{17}{2} \cdot \frac{16 + 1}{2}

$\frac{17}{2} \cdot \frac{16 + 1}{2}$

Step 2.2.4.2

Add

16

$16$ and

1

$1$ .

\frac{17}{2} \cdot \frac{17}{2}

$\frac{17}{2} \cdot \frac{17}{2}$

\frac{17}{2} \cdot \frac{17}{2}

$\frac{17}{2} \cdot \frac{17}{2}$

\frac{17}{2} \cdot \frac{17}{2}

$\frac{17}{2} \cdot \frac{17}{2}$

\frac{17}{2} \cdot \frac{17}{2}

$\frac{17}{2} \cdot \frac{17}{2}$

Step 3

Multiply

\frac{17}{2} \cdot \frac{17}{2}

$\frac{17}{2} \cdot \frac{17}{2}$ .

Tap for more steps...

Step 3.1

Multiply

\frac{17}{2}

$\frac{17}{2}$ by

\frac{17}{2}

$\frac{17}{2}$ .

\frac{17 \cdot 17}{2 \cdot 2}

$\frac{17 \cdot 17}{2 \cdot 2}$

Step 3.2

Multiply

17

$17$ by

17

$17$ .

\frac{289}{2 \cdot 2}

$\frac{289}{2 \cdot 2}$

Step 3.3

Multiply

2

$2$ by

2

$2$ .

\frac{289}{4}

$\frac{289}{4}$

\frac{289}{4}

$\frac{289}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{289}{4}

$\frac{289}{4}$

Decimal Form:

72.25

$72.25$

Mixed Number Form:

72 \frac{1}{4}

$72 \frac{1}{4}$