Basic Math Examples

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

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

Step 1

Convert

1 \frac{1}{8}

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

Tap for more steps...

Step 1.1

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

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

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

Step 1.2

Add

1

$1$ and

\frac{1}{8}

$\frac{1}{8}$ .

Tap for more steps...

Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

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

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

Step 1.2.2

Combine the numerators over the common denominator.

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

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

Step 1.2.3

Add

8

$8$ and

1

$1$ .

\frac{9}{8} \cdot 2 \frac{1}{2}

$\frac{9}{8} \cdot 2 \frac{1}{2}$

\frac{9}{8} \cdot 2 \frac{1}{2}

$\frac{9}{8} \cdot 2 \frac{1}{2}$

\frac{9}{8} \cdot 2 \frac{1}{2}

$\frac{9}{8} \cdot 2 \frac{1}{2}$

Step 2

Convert

2 \frac{1}{2}

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

Tap for more steps...

Step 2.1

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

\frac{9}{8} \cdot (2 + \frac{1}{2})

$\frac{9}{8} \cdot (2 + \frac{1}{2})$

Step 2.2

Add

2

$2$ and

\frac{1}{2}

$\frac{1}{2}$ .

Tap for more steps...

Step 2.2.1

To write

2

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

\frac{2}{2}

$\frac{2}{2}$ .

\frac{9}{8} \cdot (2 \cdot \frac{2}{2} + \frac{1}{2})

$\frac{9}{8} \cdot (2 \cdot \frac{2}{2} + \frac{1}{2})$

Step 2.2.2

Combine

2

$2$ and

\frac{2}{2}

$\frac{2}{2}$ .

\frac{9}{8} \cdot (\frac{2 \cdot 2}{2} + \frac{1}{2})

$\frac{9}{8} \cdot (\frac{2 \cdot 2}{2} + \frac{1}{2})$

Step 2.2.3

Combine the numerators over the common denominator.

\frac{9}{8} \cdot \frac{2 \cdot 2 + 1}{2}

$\frac{9}{8} \cdot \frac{2 \cdot 2 + 1}{2}$

Step 2.2.4

Simplify the numerator.

Tap for more steps...

Step 2.2.4.1

Multiply

2

$2$ by

2

$2$ .

\frac{9}{8} \cdot \frac{4 + 1}{2}

$\frac{9}{8} \cdot \frac{4 + 1}{2}$

Step 2.2.4.2

Add

4

$4$ and

1

$1$ .

\frac{9}{8} \cdot \frac{5}{2}

$\frac{9}{8} \cdot \frac{5}{2}$

\frac{9}{8} \cdot \frac{5}{2}

$\frac{9}{8} \cdot \frac{5}{2}$

\frac{9}{8} \cdot \frac{5}{2}

$\frac{9}{8} \cdot \frac{5}{2}$

\frac{9}{8} \cdot \frac{5}{2}

$\frac{9}{8} \cdot \frac{5}{2}$

Step 3

Multiply

\frac{9}{8} \cdot \frac{5}{2}

$\frac{9}{8} \cdot \frac{5}{2}$ .

Tap for more steps...

Step 3.1

Multiply

\frac{9}{8}

$\frac{9}{8}$ by

\frac{5}{2}

$\frac{5}{2}$ .

\frac{9 \cdot 5}{8 \cdot 2}

$\frac{9 \cdot 5}{8 \cdot 2}$

Step 3.2

Multiply

9

$9$ by

5

$5$ .

\frac{45}{8 \cdot 2}

$\frac{45}{8 \cdot 2}$

Step 3.3

Multiply

8

$8$ by

2

$2$ .

\frac{45}{16}

$\frac{45}{16}$

\frac{45}{16}

$\frac{45}{16}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{45}{16}

$\frac{45}{16}$

Decimal Form:

2.8125

$2.8125$

Mixed Number Form:

2 \frac{13}{16}

$2 \frac{13}{16}$