Basic Math Examples

$2 \frac{1}{2} \cdot 3 \frac{1}{4}$

Step 1

Convert

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

Tap for more steps...

Step 1.1

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

$(2 + \frac{1}{2}) \cdot 3 \frac{1}{4}$

Step 1.2

Add

$2$ and

$\frac{1}{2}$ .

Tap for more steps...

Step 1.2.1

To write

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

$\frac{2}{2}$ .

$(2 \cdot \frac{2}{2} + \frac{1}{2}) \cdot 3 \frac{1}{4}$

Step 1.2.2

Combine

$2$ and

$\frac{2}{2}$ .

$(\frac{2 \cdot 2}{2} + \frac{1}{2}) \cdot 3 \frac{1}{4}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{2 \cdot 2 + 1}{2} \cdot 3 \frac{1}{4}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

$2$ by

$2$ .

$\frac{4 + 1}{2} \cdot 3 \frac{1}{4}$

Step 1.2.4.2

Add

$4$ and

$1$ .

$\frac{5}{2} \cdot 3 \frac{1}{4}$

Step 2

Convert

$3 \frac{1}{4}$ to an improper fraction.

Tap for more steps...

Step 2.1

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

$\frac{5}{2} \cdot (3 + \frac{1}{4})$

Step 2.2

Add

$3$ and

$\frac{1}{4}$ .

Tap for more steps...

Step 2.2.1

To write

$3$ as a fraction with a common denominator, multiply by

$\frac{4}{4}$ .

$\frac{5}{2} \cdot (3 \cdot \frac{4}{4} + \frac{1}{4})$

Step 2.2.2

Combine

$3$ and

$\frac{4}{4}$ .

$\frac{5}{2} \cdot (\frac{3 \cdot 4}{4} + \frac{1}{4})$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{5}{2} \cdot \frac{3 \cdot 4 + 1}{4}$

Step 2.2.4

Simplify the numerator.

Tap for more steps...

Step 2.2.4.1

Multiply

$3$ by

$4$ .

$\frac{5}{2} \cdot \frac{12 + 1}{4}$

Step 2.2.4.2

Add

$12$ and

$1$ .

$\frac{5}{2} \cdot \frac{13}{4}$

Step 3

Multiply

$\frac{5}{2} \cdot \frac{13}{4}$ .

Tap for more steps...

Step 3.1

Multiply

$\frac{5}{2}$ by

$\frac{13}{4}$ .

$\frac{5 \cdot 13}{2 \cdot 4}$

Step 3.2

Multiply

$5$ by

$13$ .

$\frac{65}{2 \cdot 4}$

Step 3.3

Multiply

$2$ by

$4$ .

$\frac{65}{8}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{65}{8}$

Decimal Form:

$8.125$

Mixed Number Form:

$8 \frac{1}{8}$