Basic Math Examples

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

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

Step 1

Convert

$2 \frac{1}{3}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

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

Step 1.2

Add

$2$ and

$\frac{1}{3}$ .

Tap for more steps...

Step 1.2.1

To write

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

$\frac{3}{3}$ .

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

Step 1.2.2

Combine

$2$ and

$\frac{3}{3}$ .

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

Step 1.2.3

Combine the numerators over the common denominator.

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

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

$2$ by

$3$ .

$\frac{6 + 1}{3} \cdot 1 \frac{1}{2}$

Step 1.2.4.2

Add

$6$ and

$1$ .

$\frac{7}{3} \cdot 1 \frac{1}{2}$

Step 2

Convert

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

Tap for more steps...

Step 2.1

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

$\frac{7}{3} \cdot (1 + \frac{1}{2})$

Step 2.2

Add

$1$ and

$\frac{1}{2}$ .

Tap for more steps...

Step 2.2.1

Write

$1$ as a fraction with a common denominator.

$\frac{7}{3} \cdot (\frac{2}{2} + \frac{1}{2})$

Step 2.2.2

Combine the numerators over the common denominator.

$\frac{7}{3} \cdot \frac{2 + 1}{2}$

Step 2.2.3

Add

$2$ and

$1$ .

$\frac{7}{3} \cdot \frac{3}{2}$

Step 3

Cancel the common factor of

$3$ .

Tap for more steps...

Step 3.1

Cancel the common factor.

$\frac{7}{3} \cdot \frac{3}{2}$

Step 3.2

Rewrite the expression.

$7 \cdot \frac{1}{2}$

Step 4

Combine

$7$ and

$\frac{1}{2}$ .

$\frac{7}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{2}$

Decimal Form:

$3.5$

Mixed Number Form:

$3 \frac{1}{2}$