Basic Math Examples

$2 \frac{1}{4} \cdot 6$

Step 1

Convert

$2 \frac{1}{4}$ to an improper fraction.

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Step 1.1

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

$(2 + \frac{1}{4}) \cdot 6$

Step 1.2

Add

$2$ and

$\frac{1}{4}$ .

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Step 1.2.1

To write

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

$\frac{4}{4}$ .

$(2 \cdot \frac{4}{4} + \frac{1}{4}) \cdot 6$

Step 1.2.2

Combine

$2$ and

$\frac{4}{4}$ .

$(\frac{2 \cdot 4}{4} + \frac{1}{4}) \cdot 6$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{2 \cdot 4 + 1}{4} \cdot 6$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$2$ by

$4$ .

$\frac{8 + 1}{4} \cdot 6$

Step 1.2.4.2

Add

$8$ and

$1$ .

$\frac{9}{4} \cdot 6$

Step 2

Cancel the common factor of

$2$ .

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Step 2.1

Factor

$2$ out of

$4$ .

$\frac{9}{2 (2)} \cdot 6$

Step 2.2

Factor

$2$ out of

$6$ .

$\frac{9}{2 \cdot 2} \cdot (2 \cdot 3)$

Step 2.3

Cancel the common factor.

$\frac{9}{2 \cdot 2} \cdot (2 \cdot 3)$

Step 2.4

Rewrite the expression.

$\frac{9}{2} \cdot 3$

Step 3

Combine

$\frac{9}{2}$ and

$3$ .

$\frac{9 \cdot 3}{2}$

Step 4

Multiply

$9$ by

$3$ .

$\frac{27}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{27}{2}$

Decimal Form:

$13.5$

Mixed Number Form:

$13 \frac{1}{2}$