Basic Math Examples

$4 \frac{6}{4} \cdot 3$

Step 1

Convert $4 \frac{6}{4}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

$(4 + \frac{6}{4}) \cdot 3$

Step 1.2

Add $4$ and $\frac{6}{4}$ .

Tap for more steps...

Step 1.2.1

To write $4$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$(4 \cdot \frac{4}{4} + \frac{6}{4}) \cdot 3$

Step 1.2.2

Combine $4$ and $\frac{4}{4}$ .

$(\frac{4 \cdot 4}{4} + \frac{6}{4}) \cdot 3$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{4 \cdot 4 + 6}{4} \cdot 3$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply $4$ by $4$ .

$\frac{16 + 6}{4} \cdot 3$

Step 1.2.4.2

Add $16$ and $6$ .

$\frac{22}{4} \cdot 3$

Step 2

Cancel the common factor of $22$ and $4$ .

Tap for more steps...

Step 2.1

Factor $2$ out of $22$ .

$\frac{2 (11)}{4} \cdot 3$

Step 2.2

Cancel the common factors.

Tap for more steps...

Step 2.2.1

Factor $2$ out of $4$ .

$\frac{2 \cdot 11}{2 \cdot 2} \cdot 3$

Step 2.2.2

Cancel the common factor.

$\frac{2 \cdot 11}{2 \cdot 2} \cdot 3$

Step 2.2.3

Rewrite the expression.

$\frac{11}{2} \cdot 3$

Step 3

Multiply $\frac{11}{2} \cdot 3$ .

Tap for more steps...

Step 3.1

Combine $\frac{11}{2}$ and $3$ .

$\frac{11 \cdot 3}{2}$

Step 3.2

Multiply $11$ by $3$ .

$\frac{33}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{33}{2}$

Decimal Form:

$16.5$

Mixed Number Form:

$16 \frac{1}{2}$